Existence and uniqueness of solutions of certain second order nonlinear equations

Authors

  • H.L. Tidke
  • M.B. Dhakne

DOI:

https://doi.org/10.1285/i15900932v30n2p73

Keywords:

Volterra integrodifferential equation, uniqueness, continuous dependence, cosineand sine family, integral inequality

Abstract

The existence, uniqueness and other properties of solutions of nonlinear second order Volterra integrodifferential equation in a general Banach space are studied. The main tools in our analysis is based on the theory of the strongly continuous cosine family, a modified version of contraction mapping principle and the integral inequality established by B. G. Pachpatte.

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Published

16-10-2011

Issue

Volume 30, Issue 2 (2010)

Section

Articoli

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode