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Let $X$ be the Banach space of $C^{0}$ -functions on $〈 0, 1 〉$ with the sup norm and $α, β \in X \to R$ be continuous increasing functionals, $α (0) = β (0) = 0$ . This paper deals with the functional differential equation (1) $x^{'''} (t) = Q [x, x^{'}, x^{''} (t)] (t)$ , where $Q : X^{2} \times R \to X$ is locally bounded continuous operator. Some theorems about the existence of two different solutions of (1) satisfying the functional boundary conditions $α (x) = 0 = β (x^{'})$ , $x^{''} (1) - x^{''} (0) = 0$ are given. The method of proof makes use of Schauder linearizatin technique and the Schauder fixed point theorem. The results are modified for 2nd order functional...

Existence of non-oscillatory solutions for a higher-order nonlinear neutral difference equation.

Guo, Zhenyu, Liu, Min (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence of positive solutions for a functional fractional boundary value problem.

Bai, Chuanzhi (2010)

Abstract and Applied Analysis

Existence of positive solutions for boundary value problems of fractional functional differential equations.

Bai, Chuanzhi (2010)

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

Existence of positive solutions for boundary value problems of second-order functional-differential equations.

Jiang, Daqing, Weng, Peixuan (1998)

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

Existence of positive solutions for boundary-value problems for singular higher-order functional differential equations.

Bai, Chuanzhi, Yang, Qing, Ge, Jing (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence of positive solutions of $p$ -Laplacian functional differential equations.

Song, Chang-Xiu (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence of positive solutions to a boundary value problem for a delayed nonlinear fractional differential system.

Ouyang, Zigen, Chen, Yuming, Zou, Shuliang (2011)

Boundary Value Problems [electronic only]

Existence of solutions for functional antiperiodic boundary value problems.

Jankowski, Tadeusz (2001)

Mathematica Pannonica

Existence of solutions of boundary value problems for functional differential equations.

Ntouyas, S.K., Tsamatos, P.Ch. (1991)

International Journal of Mathematics and Mathematical Sciences

Existence of solutions of periodic boundary value problems for impulsive functional Duffing equations at nonresonance case.

Liu, Xingyuan, Liu, Yuji (2008)

Boundary Value Problems [electronic only]

Existence results for delay second order differential inclusions

Dalila Azzam-Laouir, Tahar Haddad (2008)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In this paper, some fixed point principle is applied to prove the existence of solutions for delay second order differential inclusions with three-point boundary conditions in the context of a separable Banach space. A topological property of the solutions set is also established.

Existence results for functional boundary value problems at resonance

Staněk, Svatoslav (1998)

Mathematica Slovaca

Existence results for functional differential inclusions.

Benchohra, M., Ntouyas, S.K. (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence theory for nonlinear functional boundary value problems.

Dhage, B.C., Henderson, Johnny (2004)

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

Existence theory for single and multiple solutions to singular positone boundary value problems for the delay one-dimensional p-Laplacian

Daqing Jiang, Xiaojie Xu, Donal O'Regan, Ravi P. Agarwal (2003)

Annales Polonici Mathematici

The existence of single and multiple nonnegative solutions for singular positone boundary value problems to the delay one-dimensional p-Laplacian is discussed. Throughout our nonlinearity f(·,y) may be singular at y = 0.

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