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Of concern is the existence, uniqueness, and continuous dependence of a mild solution of a nonlocal Cauchy problem for a semilinear mixed Volterra-Fredholm functional integrodifferential equation. Our analysis is based on the theory of a strongly continuous semigroup of operators and the Banach fixed point theorem.
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참고문헌 (13)
참고문헌 신청
K. Balachandran / 1997 / Existence of solutions of nonlinear integrodifferential equation with nonlocal conditions / Indian J. Appl. Stoch. Anal 10:27~288
K. Balachandran / 2001 / Existence of a mild solution of a functional integrodifferential equation with nonlocal condition / Bull. Korean Math. Soc 38(1):175~182
L. Byszewski / 1991 / Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem / J. Math. Anal. Appl 162:494~505
L. Byszewski / 1996 / Existence, uniqueness and asymptotic satbility of solutions of abstract nonlocal Cauchy problem / Dynamic Systems and Applications 5:595~605
L. Byszewski / 1997 / On a mild solution of a semilinear funtional-differential evolution nonlocal problem / J. Appl. Math. Stoch. Anal 10:265~271
K. Balachandran / 2001 / Existence of a mild solution of a functional integrodifferential equation with nonlocal condition / Bull. Korean Math. Soc 38(1):175~182
L. Byszewski / 1991 / Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem / J. Math. Anal. Appl 162:494~505
L. Byszewski / 1996 / Existence, uniqueness and asymptotic satbility of solutions of abstract nonlocal Cauchy problem / Dynamic Systems and Applications 5:595~605
L. Byszewski / 1997 / On a mild solution of a semilinear funtional-differential evolution nonlocal problem / J. Appl. Math. Stoch. Anal 10:265~271
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