Relaxation and weak solutions of nonlocal semilinear evolution systems

被引：1

作者：

Javaid, N. ^{[1
]}

Bilal, S. ^{[1
]}

Donchev, T. ^{[1
]}

Lazu, A., I ^{[2
]}

机构：

[1] Abdus Salam Sch Math Sci, Lahore, Pakistan

[2] Gh Asachi Tech Univ, Dept Math, Iasi, Romania

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期

关键词：

Nonlocal problems; Weak solutions; Density; MILD SOLUTIONS; EXISTENCE; EQUATIONS; INCLUSIONS;

D O I：

10.1186/s13662-019-2107-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a relatively short proof of the fact that the solution set of a nonlocal semilinear differential inclusion is dense in the weak solution set of the corresponding convexified system. Moreover, we prove a similar result for the solutions with continuous pseudoderivatives when the right-hand side is continuous with nonempty convex closed and bounded values.

引用

页数：15

共 50 条

[1] Relaxation and weak solutions of nonlocal semilinear evolution systems
N. Javaid
S. Bilal
T. Donchev
A. I. Lazu
Advances in Difference Equations, 2019
[2] Nonlocal semilinear evolution inclusions with time lag
Donchev, Tzanko
Kitanov, Nikolay
Stefanov, Stanislav
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (10)
[3] EXISTENCE OF MILD SOLUTIONS OF A SEMILINEAR EVOLUTION DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS
Al-Omair, Reem A.
Ibrahim, Ahmed G.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[4] RELAXATION IN CONTROL SYSTEMS OF FRACTIONAL SEMILINEAR EVOLUTION EQUATIONS
Liu, Xiaoyou
Fu, Xi
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[5] Semilinear Delay Evolution Equations with Nonlocal Initial Conditions
Vrabie, Ioan I.
NEW PROSPECTS IN DIRECT, INVERSE AND CONTROL PROBLEMS FOR EVOLUTION EQUATIONS, 2014, 10 : 419 - 435
[6] Existence of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions
Pengyu Chen
Yongxiang Li
Hongxia Fan
Advances in Difference Equations, 2012
[7] Semilinear evolution inclusions with nonlocal conditions
Boucherif, Abdelkader
APPLIED MATHEMATICS LETTERS, 2009, 22 (08) : 1145 - 1149
[8] Existence of asymptotically periodic solutions for semilinear evolution equations with nonlocal initial conditions
Cao, Junfei
Huang, Zaitang
OPEN MATHEMATICS, 2018, 16 : 792 - 805
[9] Existence of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions
Chen, Pengyu
Li, Yongxiang
Fan, Hongxia
ADVANCES IN DIFFERENCE EQUATIONS, 2012, : 1 - 9
[10] WEAK SOLUTIONS FOR NONLOCAL EVOLUTION VARIATIONAL INEQUALITIES INVOLVING GRADIENT CONSTRAINTS AND VARIABLE EXPONENT
Xiang, Mingqi
Fu, Yongqiang
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,

← 1 2 3 4 5 →