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

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