Methods of Functional and Harmonic Analysis and PDE with Singularities

Link to this page

info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174024/RS//

Methods of Functional and Harmonic Analysis and PDE with Singularities (en)
Методе функционалне и хармонијске анализе и ПДЈ са сингуларитетима (sr)
Metode funkcionalne i harmonijske analize i PDJ sa singularitetima (sr_RS)
Authors

Publications

Asymptotically almost periodic and asymptotically almost automorphic solutions of abstract degenerate multi-term fractional differential inclusions with Riemann-Liouville derivatives

Kostić, Marko

(Beograd : Académie Serbe des sciences et des arts, 2019)

TY  - JOUR
AU  - Kostić, Marko
PY  - 2019
UR  - https://dais.sanu.ac.rs/123456789/12102
PB  - Beograd : Académie Serbe des sciences et des arts
T2  - Bulletin T.CLII de l’Académie serbe des sciences et des arts
T1  - Asymptotically almost periodic and asymptotically almost automorphic solutions of abstract degenerate multi-term fractional differential inclusions with Riemann-Liouville derivatives
SP  - 55
EP  - 74
UR  - https://hdl.handle.net/21.15107/rcub_dais_12102
ER  - 
@article{
author = "Kostić, Marko",
year = "2019",
publisher = "Beograd : Académie Serbe des sciences et des arts",
journal = "Bulletin T.CLII de l’Académie serbe des sciences et des arts",
title = "Asymptotically almost periodic and asymptotically almost automorphic solutions of abstract degenerate multi-term fractional differential inclusions with Riemann-Liouville derivatives",
pages = "55-74",
url = "https://hdl.handle.net/21.15107/rcub_dais_12102"
}
Kostić, M.. (2019). Asymptotically almost periodic and asymptotically almost automorphic solutions of abstract degenerate multi-term fractional differential inclusions with Riemann-Liouville derivatives. in Bulletin T.CLII de l’Académie serbe des sciences et des arts
Beograd : Académie Serbe des sciences et des arts., 55-74.
https://hdl.handle.net/21.15107/rcub_dais_12102
Kostić M. Asymptotically almost periodic and asymptotically almost automorphic solutions of abstract degenerate multi-term fractional differential inclusions with Riemann-Liouville derivatives. in Bulletin T.CLII de l’Académie serbe des sciences et des arts. 2019;:55-74.
https://hdl.handle.net/21.15107/rcub_dais_12102 .
Kostić, Marko, "Asymptotically almost periodic and asymptotically almost automorphic solutions of abstract degenerate multi-term fractional differential inclusions with Riemann-Liouville derivatives" in Bulletin T.CLII de l’Académie serbe des sciences et des arts (2019):55-74,
https://hdl.handle.net/21.15107/rcub_dais_12102 .

A common fixed point result in strong JS-metric space

Gajić, Ljiljana; Ralević, Nebojša

(Beograd : Académie Serbe des sciences et des arts, 2018)

TY  - CONF
AU  - Gajić, Ljiljana
AU  - Ralević, Nebojša
PY  - 2018
UR  - https://dais.sanu.ac.rs/123456789/9086
AB  - The aim of our paper is the prove that the common fixed point result due
to Sehgal and Thomas is valied in a class of generalized metric spaces in sence of Jleli and
Samet.
PB  - Beograd : Académie Serbe des sciences et des arts
C3  - Bulletin T.CLI de l’Académie serbe des sciences et des arts
T1  - A common fixed point result in strong JS-metric space
SP  - 113
EP  - 121
UR  - https://hdl.handle.net/21.15107/rcub_dais_9086
ER  - 
@conference{
author = "Gajić, Ljiljana and Ralević, Nebojša",
year = "2018",
abstract = "The aim of our paper is the prove that the common fixed point result due
to Sehgal and Thomas is valied in a class of generalized metric spaces in sence of Jleli and
Samet.",
publisher = "Beograd : Académie Serbe des sciences et des arts",
journal = "Bulletin T.CLI de l’Académie serbe des sciences et des arts",
title = "A common fixed point result in strong JS-metric space",
pages = "113-121",
url = "https://hdl.handle.net/21.15107/rcub_dais_9086"
}
Gajić, L.,& Ralević, N.. (2018). A common fixed point result in strong JS-metric space. in Bulletin T.CLI de l’Académie serbe des sciences et des arts
Beograd : Académie Serbe des sciences et des arts., 113-121.
https://hdl.handle.net/21.15107/rcub_dais_9086
Gajić L, Ralević N. A common fixed point result in strong JS-metric space. in Bulletin T.CLI de l’Académie serbe des sciences et des arts. 2018;:113-121.
https://hdl.handle.net/21.15107/rcub_dais_9086 .
Gajić, Ljiljana, Ralević, Nebojša, "A common fixed point result in strong JS-metric space" in Bulletin T.CLI de l’Académie serbe des sciences et des arts (2018):113-121,
https://hdl.handle.net/21.15107/rcub_dais_9086 .

Composition principles for generalized almost periodic functions

Kostić, Marko

(Beograd : Académie Serbe des sciences et des arts, 2018)

TY  - CONF
AU  - Kostić, Marko
PY  - 2018
UR  - https://dais.sanu.ac.rs/123456789/9084
AB  - In this paper, we consider composition principles for generalized almost periodic functions. We prove several new composition principles for the classes of
(asymptotically) Stepanov p-almost periodic functions and (asymptotically, equi-)Weyl palmost periodic functions, where 1 ≤ p < 1, and explain how we can use some of them in
the qualitative analysis of solutions for certain classes of abstract semilinear Cauchy inclusions in Banach spaces.
PB  - Beograd : Académie Serbe des sciences et des arts
C3  - Bulletin T.CLI de l’Académie serbe des sciences et des arts
T1  - Composition principles for generalized almost periodic functions
SP  - 65
EP  - 80
UR  - https://hdl.handle.net/21.15107/rcub_dais_9084
ER  - 
@conference{
author = "Kostić, Marko",
year = "2018",
abstract = "In this paper, we consider composition principles for generalized almost periodic functions. We prove several new composition principles for the classes of
(asymptotically) Stepanov p-almost periodic functions and (asymptotically, equi-)Weyl palmost periodic functions, where 1 ≤ p < 1, and explain how we can use some of them in
the qualitative analysis of solutions for certain classes of abstract semilinear Cauchy inclusions in Banach spaces.",
publisher = "Beograd : Académie Serbe des sciences et des arts",
journal = "Bulletin T.CLI de l’Académie serbe des sciences et des arts",
title = "Composition principles for generalized almost periodic functions",
pages = "65-80",
url = "https://hdl.handle.net/21.15107/rcub_dais_9084"
}
Kostić, M.. (2018). Composition principles for generalized almost periodic functions. in Bulletin T.CLI de l’Académie serbe des sciences et des arts
Beograd : Académie Serbe des sciences et des arts., 65-80.
https://hdl.handle.net/21.15107/rcub_dais_9084
Kostić M. Composition principles for generalized almost periodic functions. in Bulletin T.CLI de l’Académie serbe des sciences et des arts. 2018;:65-80.
https://hdl.handle.net/21.15107/rcub_dais_9084 .
Kostić, Marko, "Composition principles for generalized almost periodic functions" in Bulletin T.CLI de l’Académie serbe des sciences et des arts (2018):65-80,
https://hdl.handle.net/21.15107/rcub_dais_9084 .

Wave-front sets in non-quasianalytic setting for FourierLebesgue and modulation spaces

Teofanov, Nenad

(Beograd : Académie Serbe des sciences et des arts, 2018)

TY  - CONF
AU  - Teofanov, Nenad
PY  - 2018
UR  - https://dais.sanu.ac.rs/123456789/9085
AB  - We define and study wave-front sets for weighted Fourier-Lebesgue spaces
when the weights are moderate with respect to associated functions for general sequences
{Mp} which satisfy Komatsu’s conditions (M.1) − (M.3)′
. In particular, when {Mp} is the
Gevrey sequence (Mp = p!
s, s > 1) we recover some previously observed results. Furthermore, we consider wave-front sets for modulation spaces in the same setting, and prove the
invariance property related to the Fourier-Lebesgue type wave-front sets.
PB  - Beograd : Académie Serbe des sciences et des arts
C3  - Bulletin T.CLI de l’Académie serbe des sciences et des arts
T1  - Wave-front sets in non-quasianalytic setting for FourierLebesgue and modulation spaces
SP  - 81
EP  - 111
UR  - https://hdl.handle.net/21.15107/rcub_dais_9085
ER  - 
@conference{
author = "Teofanov, Nenad",
year = "2018",
abstract = "We define and study wave-front sets for weighted Fourier-Lebesgue spaces
when the weights are moderate with respect to associated functions for general sequences
{Mp} which satisfy Komatsu’s conditions (M.1) − (M.3)′
. In particular, when {Mp} is the
Gevrey sequence (Mp = p!
s, s > 1) we recover some previously observed results. Furthermore, we consider wave-front sets for modulation spaces in the same setting, and prove the
invariance property related to the Fourier-Lebesgue type wave-front sets.",
publisher = "Beograd : Académie Serbe des sciences et des arts",
journal = "Bulletin T.CLI de l’Académie serbe des sciences et des arts",
title = "Wave-front sets in non-quasianalytic setting for FourierLebesgue and modulation spaces",
pages = "81-111",
url = "https://hdl.handle.net/21.15107/rcub_dais_9085"
}
Teofanov, N.. (2018). Wave-front sets in non-quasianalytic setting for FourierLebesgue and modulation spaces. in Bulletin T.CLI de l’Académie serbe des sciences et des arts
Beograd : Académie Serbe des sciences et des arts., 81-111.
https://hdl.handle.net/21.15107/rcub_dais_9085
Teofanov N. Wave-front sets in non-quasianalytic setting for FourierLebesgue and modulation spaces. in Bulletin T.CLI de l’Académie serbe des sciences et des arts. 2018;:81-111.
https://hdl.handle.net/21.15107/rcub_dais_9085 .
Teofanov, Nenad, "Wave-front sets in non-quasianalytic setting for FourierLebesgue and modulation spaces" in Bulletin T.CLI de l’Académie serbe des sciences et des arts (2018):81-111,
https://hdl.handle.net/21.15107/rcub_dais_9085 .

Approximation and convergence of degenerate (a, k)-regularized C-resolvent families

Kostić, Marko

(Beograd : Académie Serbe des sciences et des arts, 2017)

TY  - JOUR
AU  - Kostić, Marko
PY  - 2017
UR  - https://dais.sanu.ac.rs/123456789/16444
AB  - The main aim of this paper is to investigate approximation and convergence
of degenerate (a, k)-regularized C-resolvent families in locally convex spaces. We continue
our previous research of non-degenerate case [Numer. Funct. Anal. Appl. 35 (2014),
1579−1606], following the multivalued linear operators approach to abstract degenerate differential
equations. We also consider Laguerre expansions of degenerate (a, k)-regularized
C-resolvent families.
PB  - Beograd : Académie Serbe des sciences et des arts
T2  - Bulletin T.CL de l’Académie serbe des sciences et des arts
T1  - Approximation and convergence of degenerate (a, k)-regularized C-resolvent families
SP  - 69
EP  - 83
UR  - https://hdl.handle.net/21.15107/rcub_dais_16444
ER  - 
@article{
author = "Kostić, Marko",
year = "2017",
abstract = "The main aim of this paper is to investigate approximation and convergence
of degenerate (a, k)-regularized C-resolvent families in locally convex spaces. We continue
our previous research of non-degenerate case [Numer. Funct. Anal. Appl. 35 (2014),
1579−1606], following the multivalued linear operators approach to abstract degenerate differential
equations. We also consider Laguerre expansions of degenerate (a, k)-regularized
C-resolvent families.",
publisher = "Beograd : Académie Serbe des sciences et des arts",
journal = "Bulletin T.CL de l’Académie serbe des sciences et des arts",
title = "Approximation and convergence of degenerate (a, k)-regularized C-resolvent families",
pages = "69-83",
url = "https://hdl.handle.net/21.15107/rcub_dais_16444"
}
Kostić, M.. (2017). Approximation and convergence of degenerate (a, k)-regularized C-resolvent families. in Bulletin T.CL de l’Académie serbe des sciences et des arts
Beograd : Académie Serbe des sciences et des arts., 69-83.
https://hdl.handle.net/21.15107/rcub_dais_16444
Kostić M. Approximation and convergence of degenerate (a, k)-regularized C-resolvent families. in Bulletin T.CL de l’Académie serbe des sciences et des arts. 2017;:69-83.
https://hdl.handle.net/21.15107/rcub_dais_16444 .
Kostić, Marko, "Approximation and convergence of degenerate (a, k)-regularized C-resolvent families" in Bulletin T.CL de l’Académie serbe des sciences et des arts (2017):69-83,
https://hdl.handle.net/21.15107/rcub_dais_16444 .

Degenerate C-ultradistribution semigroups in locally convex spaces

Kostić, Marko; Pilipović, Stevan; Velinov, Daniel

(Beograd : Académie Serbe des sciences et des arts, 2017)

TY  - JOUR
AU  - Kostić, Marko
AU  - Pilipović, Stevan
AU  - Velinov, Daniel
PY  - 2017
UR  - https://dais.sanu.ac.rs/123456789/16443
AB  - The main subject in this paper are degenerate C-ultradistribution semigroups in barreled sequentially complete locally convex spaces. Here, the regularizing operator C is not necessarily injective and the infinitesimal generator of semigroup is a multivalued linear operator. We also consider exponential degenerate C-ultradistribution semigroups.
PB  - Beograd : Académie Serbe des sciences et des arts
T2  - Bulletin T.CL de l’Académie serbe des sciences et des arts
T1  - Degenerate C-ultradistribution semigroups in locally convex spaces
SP  - 53
EP  - 67
UR  - https://hdl.handle.net/21.15107/rcub_dais_16443
ER  - 
@article{
author = "Kostić, Marko and Pilipović, Stevan and Velinov, Daniel",
year = "2017",
abstract = "The main subject in this paper are degenerate C-ultradistribution semigroups in barreled sequentially complete locally convex spaces. Here, the regularizing operator C is not necessarily injective and the infinitesimal generator of semigroup is a multivalued linear operator. We also consider exponential degenerate C-ultradistribution semigroups.",
publisher = "Beograd : Académie Serbe des sciences et des arts",
journal = "Bulletin T.CL de l’Académie serbe des sciences et des arts",
title = "Degenerate C-ultradistribution semigroups in locally convex spaces",
pages = "53-67",
url = "https://hdl.handle.net/21.15107/rcub_dais_16443"
}
Kostić, M., Pilipović, S.,& Velinov, D.. (2017). Degenerate C-ultradistribution semigroups in locally convex spaces. in Bulletin T.CL de l’Académie serbe des sciences et des arts
Beograd : Académie Serbe des sciences et des arts., 53-67.
https://hdl.handle.net/21.15107/rcub_dais_16443
Kostić M, Pilipović S, Velinov D. Degenerate C-ultradistribution semigroups in locally convex spaces. in Bulletin T.CL de l’Académie serbe des sciences et des arts. 2017;:53-67.
https://hdl.handle.net/21.15107/rcub_dais_16443 .
Kostić, Marko, Pilipović, Stevan, Velinov, Daniel, "Degenerate C-ultradistribution semigroups in locally convex spaces" in Bulletin T.CL de l’Académie serbe des sciences et des arts (2017):53-67,
https://hdl.handle.net/21.15107/rcub_dais_16443 .

Some new models for multiprocessor interconnection networks

Cvetković, Dragoš; Davidović, Tatjana; Jovanović, Irena M.

(2016)

TY  - JOUR
AU  - Cvetković, Dragoš
AU  - Davidović, Tatjana
AU  - Jovanović, Irena M.
PY  - 2016
UR  - https://dais.sanu.ac.rs/123456789/947
AB  - A multiprocessor system can be modeled by a graph G. The vertices of G correspond to processors while edges represent links between processors. To find suitable models for multiprocessor interconnection networks (briefly MINs), one can apply tools and techniques of spectral graph theory. In this paper, we extend some of the existing results and present several graphs which could serve as models for e cient MINs based on the small values of the previously introduced graph tightness. These examples of possible MINs arise as a result of some well-known and widely used graph operations. We also examine the suitability of strongly regular graphs (briefly SRGs) to model MINs, and prove the uniqueness of some of them.
T2  - Yugoslav Journal of Operations Research
T1  - Some new models for multiprocessor interconnection networks
SP  - 423
EP  - 439
VL  - 26
IS  - 4
DO  - 10.2298/YJOR160315020C
UR  - https://hdl.handle.net/21.15107/rcub_dais_947
ER  - 
@article{
author = "Cvetković, Dragoš and Davidović, Tatjana and Jovanović, Irena M.",
year = "2016",
abstract = "A multiprocessor system can be modeled by a graph G. The vertices of G correspond to processors while edges represent links between processors. To find suitable models for multiprocessor interconnection networks (briefly MINs), one can apply tools and techniques of spectral graph theory. In this paper, we extend some of the existing results and present several graphs which could serve as models for e cient MINs based on the small values of the previously introduced graph tightness. These examples of possible MINs arise as a result of some well-known and widely used graph operations. We also examine the suitability of strongly regular graphs (briefly SRGs) to model MINs, and prove the uniqueness of some of them.",
journal = "Yugoslav Journal of Operations Research",
title = "Some new models for multiprocessor interconnection networks",
pages = "423-439",
volume = "26",
number = "4",
doi = "10.2298/YJOR160315020C",
url = "https://hdl.handle.net/21.15107/rcub_dais_947"
}
Cvetković, D., Davidović, T.,& Jovanović, I. M.. (2016). Some new models for multiprocessor interconnection networks. in Yugoslav Journal of Operations Research, 26(4), 423-439.
https://doi.org/10.2298/YJOR160315020C
https://hdl.handle.net/21.15107/rcub_dais_947
Cvetković D, Davidović T, Jovanović IM. Some new models for multiprocessor interconnection networks. in Yugoslav Journal of Operations Research. 2016;26(4):423-439.
doi:10.2298/YJOR160315020C
https://hdl.handle.net/21.15107/rcub_dais_947 .
Cvetković, Dragoš, Davidović, Tatjana, Jovanović, Irena M., "Some new models for multiprocessor interconnection networks" in Yugoslav Journal of Operations Research, 26, no. 4 (2016):423-439,
https://doi.org/10.2298/YJOR160315020C .,
https://hdl.handle.net/21.15107/rcub_dais_947 .
1
1