Existence of Mild and Classical Solutions of Nonlinear Integrodifferential Equation in Banach Space

Authors

  • Kamalendra Kumar Department of Mathematics, SRMS College of Engineering & Technology, Bareilly- 243001, India
  • Rakesh Kumar Department of Mathematics, Hindu College, Moradabad-244001, India

Keywords:

Parabolic equation, Analytic semigroup, Mild and classical solutions

Abstract

In this paper, we use the theory of analytic semigroups to prove the existence and uniqueness of local mild and then classical solution of a class of nonlinear integrodifferential equations in Banach space.

Abstract
110
PDF
0

Downloads

Published

2014-11-30

How to Cite

Existence of Mild and Classical Solutions of Nonlinear Integrodifferential Equation in Banach Space. (2014). Kathmandu University Journal of Science, Engineering and Technology, 10(1), 32-38. https://doi.org/10.3126/kuset.v10i1.64342

Issue

Vol. 10 No. 1 (2014)

Section

Original Research Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

This license enables reusers to distribute, remix, adapt, and build upon the material in any medium or format, so long as attribution is given to the creator. The license allows for commercial use. If you remix, adapt, or build upon the material, you must license the modified material under identical terms.

How to Cite

Existence of Mild and Classical Solutions of Nonlinear Integrodifferential Equation in Banach Space. (2014). Kathmandu University Journal of Science, Engineering and Technology, 10(1), 32-38. https://doi.org/10.3126/kuset.v10i1.64342