On a mild solution of a semilinear functional-differential evolution nonlocal problem.
Byszewski, Ludwik, Akca, Haydar (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Displaying similar documents to “Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem.”
On a mild solution of a semilinear functional-differential evolution nonlocal problem.
Uniqueness criterion for solution of abstract nonlocal Cauchy problem.
Byszewski, L. (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Existence of solutions of a second order abstract functional Cauchy problem with nonlocal conditions
Hernán R. Henríquez, Eduardo Hernández M. (2006)
Annales Polonici Mathematici
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We establish the existence of mild, strong, classical solutions for a class of second order abstract functional differential equations with nonlocal conditions.
Existence and uniqueness of solutions to a semilinear functional-differential evolution nonlocal Cauchy problem.
Kołodziej, Katarzyna (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Existence of approximate solution to abstract nonlocal Cauchy problem.
Byszewski, L. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Functional differential equations with nonlocal initial conditions.
Aizicovici, Sergiu, Gao, Yun (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Impulsive functional-differential equations with nonlocal conditions.
Akça, Haydar, Boucherif, Abdelkader, Covachev, Valéry (2002)
International Journal of Mathematics and Mathematical Sciences
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Existence of solutions of nonlinear integrodifferential equation with nonlocal condition.
Balachandran, K., Chandrasekaran, M. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Global solutions for a functional second order abstract Cauchy problem with nonlocal conditions
Eduardo Hernández M., Hernán R. Henríquez (2004)
Annales Polonici Mathematici
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By using the theory of strongly continuous cosine families and the properties of completely continuous maps, we study the existence of mild, strong, classical and asymptotically almost periodic solutions for a functional second order abstract Cauchy problem with nonlocal conditions.
On weak solutions of functional-differential abstract nonlocal Cauchy problems
Ludwik Byszewski (1997)
Annales Polonici Mathematici
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The existence, uniqueness and asymptotic stability of weak solutions of functional-differential abstract nonlocal Cauchy problems in a Banach space are studied. Methods of m-accretive operators and the Banach contraction theorem are applied.
The Kneser property for the abstract Cauchy problem
Hernán R. Henríquez, Genaro Castillo G. (2003)
Annales Polonici Mathematici
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We establish existence of mild solutions for the semilinear first order functional abstract Cauchy problem and we prove that the set of mild solutions of this problem is connected in the space of continuous functions.
Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness
Martina Pavlačková, Valentina Taddei (2023)
Archivum Mathematicum
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We study the existence of a mild solution to the nonlocal initial value problem for semilinear second-order differential inclusions in abstract spaces. The result is obtained by combining the Kakutani fixed point theorem with the approximation solvability method and the weak topology. This combination enables getting the result without any requirements for compactness of the right-hand side or of the cosine family generated by the linear operator.
On the uniqueness of initial-value problems for partial differential equations of the first order
P. Besala (1983)
Annales Polonici Mathematici
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Existence, uniqueness, and regularity of solutions to semilinear retarded differential equations.
Bahuguna, D. (2004)
Journal of Applied Mathematics and Stochastic Analysis
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