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

Bheeman Radhakrishnan

Abstract


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

Full Text: PDF

Refbacks

  • There are currently no refbacks.


The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

Copyright 2021 by the Mathematical Association of Thailand.

All rights reserve. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission of the Mathematical Association of Thailand.

|ISSN 1686-0209|