Existence of stationary solutions for some integro-differential equations with superdiffusion

被引：1

作者：

Vougalter, Vitali ^{[1
]}

Volpert, Vitaly ^{[2
]}

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

[2] Univ Lyon 1, CNRS, Inst Camille Jordan, UMR 5208, F-69622 Villeurbanne, France

来源：

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2017年 / 137卷

关键词：

Integro-differential equations; non Fredholm operators; Sobolev spaces; SOLVABILITY CONDITIONS; ANOMALOUS DIFFUSION; HOLDER THEORY; DIRICHLET; OPERATORS; PROPERTY;

D O I：

10.4171/RSMUP/137-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The work deals with the existence of solutions of an integro-differential equation arising in population dynamics in the case of anomalous diffusion. The proof of existence of solutions relies on a fixed point technique. Solvability conditions for non-Fredholm elliptic operators in unbounded domains are being used.

引用

页码：185 / 201

页数：17

共 50 条

[31] Existence, uniqueness and data dependence for the solutions of some integro-differential equations of mixed type in banach space
Muresan, V
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2004, 23 (01): : 205 - 216
[32] Existence of S-asymptotically ω-periodic solutions to abstract integro-differential equations
Carvalho dos Santos, Jose Paulo
Henriquez, Hernan R.
APPLIED MATHEMATICS AND COMPUTATION, 2015, 256 : 109 - 118
[33] Solvability of some integro-differential equations with the logarithmic Laplacian
Vougalter, Vitali
Volpert, Vitaly
APPLICABLE ANALYSIS, 2024,
[34] On the solvability of some systems of integro-differential equations with transport and concentrated sources
Efendiev, Messoud
Vougalter, Vitali
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024, 69 (09) : 1506 - 1522
[35] Solutions of integro-differential equations and operational methods
Dattoli, G.
Migliorati, M.
Khan, Subuhi
APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (01) : 302 - 308
[36] THE　GENERALIZED　SOLUTIONS　OF　PBVP　FOR　INTEGRO-DIFFERENTIAL　EQUATIONS
ZHUANG Wan
CHEN Yubo(Department of Mathematics
SystemsScienceandMathematicalSciences, 1996, (02) : 145 - 150
[37] SCHAUDER ESTIMATES FOR SOLUTIONS OF LINEAR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS
Jin, Tianling
Xiong, Jingang
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (12) : 5977 - 5998
[38] Existence and uniqueness of solutions to weakly singular integral-algebraic and integro-differential equations
Bulatov, Mikhail V.
Lima, Pedro M.
Weinmueller, Ewa B.
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (02): : 308 - 321
[39] On the solvability of some systems of integro-differential equations with concentrated sources
Vitali Vougalter
Vitaly Volpert
Zeitschrift für angewandte Mathematik und Physik, 2022, 73
[40] On the solvability of some systems of integro-differential equations with and without a drift
Efendiev, Messoud
Vougalter, Vitali
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024,

← 1 2 3 4 5 →