Existence Results for Second Order Neutral Integrodifferential Equations of Sobolev Type in Banach Spaces

被引：0

作者：

Radhakrishnan, Bheeman ^{[1
]}

机构：

[1] PSG Coll Technol, Dept Math, Coimbatore 641004, Tamil Nadu, India

来源：

THAI JOURNAL OF MATHEMATICS | 2018年 / 16卷 / 01期

关键词：

neutral impulsive integrodifferential equation; strongly continuous cosine families of operators; fixed point theorem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we established the existence of mild solution for second order nonlinear impulsive integrodifferential equation of Sobolev type with nonlocal initial conditions. The results are obtained by using strongly continuous cosine families of operators and the fixed point approach. An example is provided to illustrate the theory.

引用

页码：25 / 47

页数：23

共 50 条

[31] Existence of Solutions for Fractional Impulsive Integrodifferential Equations in Banach Spaces
Gou, Haide
Li, Baolin
[J]. INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 2016
[32] EXISTENCE OF SOLUTIONS OF QUASILINEAR INTEGRODIFFERENTIAL EVOLUTION EQUATIONS IN BANACH SPACES
Balachandran, Krishnan
Park, Dong Gun
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (04) : 691 - 700
[33] NONLOCAL CAUCHY PROBLEM FOR TIME VARYING DELAY INTEGRODIFFERENTIAL EQUATIONS OF SOBOLEV TYPE IN BANACH SPACES
Balachandran, K.
Ravikumar, R.
[J]. TAMKANG JOURNAL OF MATHEMATICS, 2006, 37 (03): : 193 - 205
[34] Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations
Balachandran, K
Park, DG
Anthoni, SM
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 46 (8-9) : 1313 - 1324
[35] Existence results for functional differential and integrodifferential inclusions in Banach spaces
Benchohra, M
Ntouyas, SK
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2001, 32 (05): : 665 - 675
[36] EXISTENCE OF SOLUTIONS FOR NONLINEAR IMPULSIVE NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS OF SOBOLEV TYPE WITH NONLOCAL CONDITIONS IN BANACH SPACES
Radhakrishnan, Bheeman
Mohanraj, Aruchamy
Vinoba, Velu
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[37] Controllability of Sobolev-type semilinear integrodifferential systems in Banach spaces
Balachandran, K
Sakthivel, R
[J]. APPLIED MATHEMATICS LETTERS, 1999, 12 (07) : 63 - 71
[38] Existence of solutions of abstract fractional integrodifferential equations of Sobolev type
Balachandran, K.
Kiruthika, S.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) : 3406 - 3413
[39] Existence results for an impulsive neutral integro-differential equations in Banach spaces
Usha, Venkatesh
Baleanu, Dumitru
Arjunan, Mani Mallika
[J]. ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2019, 27 (03): : 231 - 257
[40] FRACTIONAL ORDER SEMILINEAR VOLTERRA INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES
Li, Kexue
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2016, 47 (02) : 439 - 455

← 1 2 3 4 5 →