KRISHNAN BALACHANDRAN, Kôichi Uchiyama
Abstract
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We prove the existence and uniqueness of mild and classical solutions of a quasilinear integrodifferential equation with nonlocal condition. The results are obtained by using $C_0$-semigroup and the Banach fixed point theorem.
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We prove the existence and uniqueness of mild and classical solutions of a quasilinear integrodifferential equation with nonlocal condition. The results are obtained by using $C_0$-semigroup and the Banach fixed point theorem.
Key concepts: Mathematics, Uniqueness, Semigroup, Banach fixed-point theorem, Fixed-point theorem, Picard–Lindelöf theorem, Mathematical analysis, Initial value problem