Existence results for semilinear differential inclusions

被引：7

作者：

Fan, Zhenbin ^{[1
]}

Li, Gang

机构：

[1] Yangzhou Univ, Dept Math, Yangzhou 225002, Peoples R China

[2] Yangzhou Polytech Coll, Yangzhou 225002, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2007年 / 76卷 / 02期

关键词：

D O I：

10.1017/S0004972700039629

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the existence of mild solutions for Cauchy problem u'(t) is an element of A(t)u(t) + F (t, u(t)), 0 < t <= T, u(0) = u(0). We derive conditions under which the mild solutions exist, and also get the relative compactness of the solution set, which extend and improve some existing results in this area.

引用

页码：227 / 241

页数：15

共 50 条

[1] Existence and controllability results for fractional semilinear differential inclusions
Wang, JinRong
Zhou, Yong
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (06) : 3642 - 3653
[2] Existence results on impulsive stochastic semilinear differential inclusions
Meghnafi, Mustapha
Hammami, Mohamed Ali
Blouhi, Tayeb
[J]. INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2021, 11 (02) : 131 - 159
[3] Existence results for functional semilinear differential inclusions in Frechet spaces
Graef, John R.
Ouahab, Abdelghani
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2008, 48 (11-12) : 1708 - 1718
[4] Existence and Controllability Results for Fractional Stochastic Semilinear Differential Inclusions
Toufik G.
[J]. Differential Equations and Dynamical Systems, 2015, 23 (3) : 225 - 240
[5] Existence results for fractional semilinear differential inclusions in Banach spaces
Liu X.
Liu Z.
[J]. Liu, X. (liuxiaoyou2002@hotmail.com), 2013, Springer Verlag (42) : 171 - 182
[6] Existence results for abstract semilinear evolution differential inclusions with nonlocal conditions
Tao Zhu
Chao Song
Gang Li
[J]. Boundary Value Problems, 2013
[7] Existence results for abstract semilinear evolution differential inclusions with nonlocal conditions
Zhu, Tao
Song, Chao
Li, Gang
[J]. BOUNDARY VALUE PROBLEMS, 2013,
[8] Existence results for first and second order semilinear impulsive differential inclusions
Górniewicz, L
Ntouyas, SIK
O'Regan, D
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2005, 26 (01) : 135 - 162
[9] EXISTENCE RESULTS ON RANDOM IMPULSIVE SEMILINEAR FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH DELAYS
Vinodkumar, A.
[J]. ANNALS OF FUNCTIONAL ANALYSIS, 2012, 3 (02): : 89 - 106
[10] EXISTENCE RESULTS FOR SEMILINEAR NEUTRAL FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS
Ntouyas, S. K.
O'Regan, D.
[J]. DIFFERENTIAL EQUATIONS & APPLICATIONS, 2009, 1 (01): : 41 - 65

← 1 2 3 4 5 →