Existence results for semilinear differential equations

被引：0

作者：

Sakthivel, R ^{[1
]}

Choi, QH

Jung, T

机构：

[1] Inha Univ, Dept Math, Inchon 402751, South Korea

[2] Kunsan Natl Univ, Dept Math, Kunsan 573701, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2002年 / 39卷 / 05期

关键词：

semilinear differential equation; mild solution; Schaefer fixed point theorem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence of mild solutions for semilinear differential equations in a Banach space. The results are obtained by using the semigroup theory and the Schaefer fixed point theorem. An example is provided to illustrate the theory.

引用

页码：775 / 782

页数：8

共 50 条

[1] Existence and uniqueness results for semilinear stochastic partial differential equations
Gyongy, I.
Stochastic Processes and their Applications, 73 (02):
[2] Existence and uniqueness results for semilinear stochastic partial differential equations
Gyongy, I
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1998, 73 (02) : 271 - 299
[3] Existence results for semilinear differential equations with nonlocal and impulsive conditions
Fan, Zhenbin
Li, Gang
JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 258 (05) : 1709 - 1727
[4] Existence results for semilinear differential inclusions
Fan, Zhenbin
Li, Gang
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2007, 76 (02) : 227 - 241
[5] A CLASS OF SEMILINEAR STOCHASTIC PARTIAL-DIFFERENTIAL EQUATIONS AND THEIR CONTROLS - EXISTENCE RESULTS
ZHOU, XY
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1993, 44 (01) : 89 - 106
[6] Existence results of semilinear differential equations with nonlocal initial conditions in Banach spaces
Zhu, Lanping
Li, Gang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (15) : 5133 - 5140
[7] Existence results for fractional order semilinear functional differential equations with nondense domain
Belmekki, Mohammed
Benchohra, Mouffak
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (02) : 925 - 932
[8] Existence results for semilinear fractional differential equations via Kuratowski measure of noncompactness
Kexue Li
Jigen Peng
Jinghuai Gao
Fractional Calculus and Applied Analysis, 2012, 15 : 591 - 610
[9] Existence results for semilinear perturbed functional differential equations with nondensely defined operators
Belmekki, M.
Benchohra, M.
Ntouyas, S. K.
FIXED POINT THEORY AND APPLICATIONS, 2006, 2006 (1)
[10] Existence results for semilinear perturbed functional differential equations with nondensely defined operators
M Belmekki
M Benchohra
SK Ntouyas
Fixed Point Theory and Applications, 2006

← 1 2 3 4 5 →