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초록· 키워드
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We prove the local existence of classical solutions of quasilinear integrodifferential
equations in Banach spaces. The results are obtained by using fractional powers of operators and the Schauder fixed-point
theorem. An example is provided to illustrate the theory.
목차
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참고문헌 (26)
참고문헌 신청
A. Friedman / 1969 / Partial Differential Equations / Holt, Rinehart and Winston, Inc
A. G. Kartsatos / 1978 / Perturbations of M-accretive operators and quasi-linear evolution equations / J. Math. Soc. Japan 30 (1) : 75 ~ 84
A. Lunardi / 1985 / Global solutions of abstract quasilinear parabolic equations / J. Differential Equations 58 (2) : 228 ~ 242
A. Pazy / 1983 / Semigroups of Linear Operators and Applications to Partial Differential Equations / Springer-Verlag
D. Bahuguna / 1995 / Quasilinear integrodifferential equations in Banach spaces / Nonlinear Anal 24 (2) : 175 ~ 183
A. G. Kartsatos / 1978 / Perturbations of M-accretive operators and quasi-linear evolution equations / J. Math. Soc. Japan 30 (1) : 75 ~ 84
A. Lunardi / 1985 / Global solutions of abstract quasilinear parabolic equations / J. Differential Equations 58 (2) : 228 ~ 242
A. Pazy / 1983 / Semigroups of Linear Operators and Applications to Partial Differential Equations / Springer-Verlag
D. Bahuguna / 1995 / Quasilinear integrodifferential equations in Banach spaces / Nonlinear Anal 24 (2) : 175 ~ 183
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