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

DOI:

https://doi.org/10.3126/kuset.v10i1.64342

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.

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Published

2014-11-30

How to Cite

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

Issue

Section

Original Research Articles