EXISTENCE AND UNIQUENESS OF MILD AND STRONG SOLUTIONS OF A VOLTERRA INTERGRODIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS

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Published: Jun 1, 1997
DOI: https://doi.org/10.5556/j.tkjm.28.1997.4323
Keywords:
Existence of solutions Volterra intcgrodiffercntial equation nonlocal condition semigroup of operators

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K. BALACHANDRAN
Department of Mathematics • Bharathiar University, Coimbatore-641 046 ** CBM College, Coimbatore:.641042 Tamil Nadu, India.
S. ILAMARAN
Department of Mathematics • Bharathiar University, Coimbatore-641 046 ** CBM College, Coimbatore:.641042 Tamil Nadu, India.

Abstract




We prove the existence and uniqueness of mild and strong solutions of a Volterra integrodifferential equation with nonlocal initial conditions using the method of semigroups and the Banach fixed point theorem.




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How to Cite
BALACHANDRAN, K., & ILAMARAN, S. (1997). EXISTENCE AND UNIQUENESS OF MILD AND STRONG SOLUTIONS OF A VOLTERRA INTERGRODIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS. Tamkang Journal of Mathematics, 28(2), 93–100. https://doi.org/10.5556/j.tkjm.28.1997.4323
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Vol. 28 No. 2 (1997)
Section
Papers
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References

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