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

[41] Existence results for semilinear elliptic equations with small measure data
Grenon, N
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2002, 19 (01): : 1 - 11
[42] EXISTENCE AND NONEXISTENCE RESULTS FOR SEMILINEAR EQUATIONS ON THE HEISENBERG-GROUP
GAROFALO, N
LANCONELLI, E
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1992, 41 (01) : 71 - 98
[43] Existence, Uniqueness and Stability Results of Impulsive Stochastic Semilinear Neutral Functional Differential Equations with Infinite Delays
Anguraj, A.
Vinodkumar, A.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (67) : 1 - 13
[44] EXISTENCE RESULTS FOR NONDENSELY DEFINED IMPULSIVE SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY
Abada, Nadjet
Agarwal, Ravi P.
Benchohra, Mouffak
Hammouche, Hadda
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2008, 1 (04) : 449 - 468
[45] Some new existence and uniqueness results of solutions to semilinear impulsive fractional integro-differential equations
Wen-Xue Zhou
Xu Liu
Jian-Gang Zhang
Advances in Difference Equations, 2015
[46] Some new existence and uniqueness results of solutions to semilinear impulsive fractional integro-differential equations
Zhou, Wen-Xue
Liu, Xu
Zhang, Jian-Gang
ADVANCES IN DIFFERENCE EQUATIONS, 2015,
[47] Existence results for functional semilinear differential inclusions in Frechet spaces
Graef, John R.
Ouahab, Abdelghani
MATHEMATICAL AND COMPUTER MODELLING, 2008, 48 (11-12) : 1708 - 1718
[48] Results on impulsive semilinear differential equations with control functions
Gautam, Pooja
Shukla, Anurag
Patel, Rohit
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022,
[49] Existence results of semilinear differential variational inequalities without compactness
Lu, Liang
Liu, Zhenhai
Motreanu, Dumitru
OPTIMIZATION, 2019, 68 (05) : 1017 - 1035
[50] Existence and Controllability Results for Fractional Stochastic Semilinear Differential Inclusions
Toufik G.
Differential Equations and Dynamical Systems, 2015, 23 (3) : 225 - 240

← 1 2 3 4 5 →