Nonlocal Cauchy problems for semilinear evolution equations

[1]  Yanping Lin,et al.  Semilinear integrodifferential equations with nonlocal Cauchy problem , 1996 .

[2]  D. Jackson Existence and uniqueness of solutions to semilinear nonlocal parabolic equations , 1993 .

[3]  J. Lions,et al.  Non-homogeneous boundary value problems and applications , 1972 .

[4]  Ralph deLaubenfels,et al.  Existence Families, Functional Calculi and Evolution Equations , 1994 .

[5]  L. Byszewski Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem , 1991 .

[6]  A. V. Balakrishnan,et al.  Fractional powers of closed operators and the semigroups generated by them. , 1960 .

[7]  Monotone iterative technique for nonlocal hyperbolic differential problems , 1992 .

[8]  Amnon Pazy,et al.  Semigroups of Linear Operators and Applications to Partial Differential Equations , 1992, Applied Mathematical Sciences.

[9]  V. Lakshmikantham,et al.  Theorem about the existence and uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space , 1991 .

[10]  Jin Liang,et al.  The Cauchy Problem for Higher Order Abstract Differential Equations , 1999 .

[11]  L. Byszewski Application of monotone iterative method to a system of parabolic semilinear functional-differential problems with nonlocal conditions , 1997 .

[12]  Daniel B. Henry Geometric Theory of Semilinear Parabolic Equations , 1989 .

[13]  J. V. Casteren,et al.  Generators of strongly continuous semigroups , 1985 .

[14]  B. Straub Fractional powers of operators with polynomially bounded resolvent and the semigroups generated by them , 1994 .

[15]  Uniqueness of solutions of parabolic semilinear nonlocal-boundary problems , 1992 .