Initial and boundary value problems for functional integro-differential equations.

Ntouyas, S.K.; Tsamatos, P.Ch.

Displaying similar documents to “Initial and boundary value problems for functional integro-differential equations.”

Initial and boundary value problems for partial functional differential equations.

Ntouyas, S.K., Tsamatos, P.Ch. (1997)

Journal of Applied Mathematics and Stochastic Analysis

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Nonlocal problems for first order functional partial differential equations

Jan Turo (1999)

Annales Polonici Mathematici

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Local existence of generalized solutions to nonlocal problems for nonlinear functional partial differential equations of first order is investigated. The proof is based on the bicharacteristics and successive approximations methods.

On a non-local boundary value problem for linear functional differential equations.

Oplustil, Z., Sremr, J. (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Unbounded solutions of second-order multipoint boundary value problem on the half-line.

Liu, Lishan, Hao, Xinan, Wu, Yonghong (2010)

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On an antiperiodic type boundary value problem for first order linear functional differential equations

Robert Hakl, Alexander Lomtatidze, Jiří Šremr (2002)

Archivum Mathematicum

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Nonimprovable, in a certain sense, sufficient conditions for the unique solvability of the boundary value problem $u^{'} (t) = ℓ (u) (t) + q (t), u (a) + λ u (b) = c$ are established, where $ℓ : C ([a, b]; R) \to L ([a, b]; R)$ is a linear bounded operator, $q \in L ([a, b]; R)$ , $λ \in R_{+}$ , and $c \in R$ . The question on the dimension of the solution space of the homogeneous problem $u^{'} (t) = ℓ (u) (t), u (a) + λ u (b) = 0$ is discussed as well.