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Existence of solutions for impulsive fractional partial neutral integro-differential inclusions with state-dependent delay in Banach spaces

Zuomao Yan, Hongwu Zhang (2014)

Annales Polonici Mathematici

We study the existence of mild solutions for a class of impulsive fractional partial neutral integro-differential inclusions with state-dependent delay. We assume that the undelayed part generates an α-resolvent operator and transform it into an integral equation. Sufficient conditions for the existence of solutions are derived by means of the fixed point theorem for discontinuous multi-valued operators due to Dhage and properties of the α-resolvent operator. An example is given to illustrate the...

Existence of solutions for impulsive neutral functional differential equations with multiple delays.

Lakrib, Mustapha (2008)

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

Existence of solutions for integrodifferential inclusions in Banach spaces.

Papageorgiou, Nikolaos S. (1991)

Commentationes Mathematicae Universitatis Carolinae

Existence of solutions for integrodifferential inclusions in Banach spaces

Nikolaos S. Papageorgiou (1991)

Commentationes Mathematicae Universitatis Carolinae

In this paper we examine nonlinear integrodifferential inclusions defined in a separable Banach space. Using a compactness type hypothesis involving the ball measure of noncompactness, we establish two existence results. One involving convex-valued orientor fields and the other nonconvex valued ones.

Existence of solutions for $m$ -point boundary value problems on a half-line.

Yu, Changlong, Guo, Yanping, Ji, Yude (2009)

Advances in Difference Equations [electronic only]

Existence of solutions for nonconvex functional differential inclusions.

Lupulescu, Vasile (2004)

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

Existence of solutions for nonconvex second order differential inclusions.

Lupulescu, Vasile (2003)

Applied Mathematics E-Notes [electronic only]

Existence of solutions for nonconvex second-order differential inclusions in the infinite dimensional space.

Haddad, Tahar, Yarou, Mustapha (2006)

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

Existence of solutions for nonconvex third order differential inclusions.

Hopkins, Britney (2005)

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

Existence of solutions for nonlinear four-point $p$ -Laplacian boundary value problems on time scales.

Topal, S.Gulsan, Ozen, O.Batit, Cetin, Erbil (2009)

Advances in Difference Equations [electronic only]

Existence of solutions for nonlinear second-order two-point boundary-value problems.

Du, Rui-Juan (2009)

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

Existence of solutions for nonlocal boundary value problems of higher-order nonlinear fractional differential equations.

Ahmad, Bashir, Nieto, Juan J. (2009)

Abstract and Applied Analysis

Existence of solutions for operator inclusions : a unified approach

Diego Averna, Salvatore A. Marano (1999)

Rendiconti del Seminario Matematico della Università di Padova

Existence of solutions for p-Laplacian functional dynamic equations on time scales.

Song, Changxiu (2006)

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

Existence of solutions for second order stochastic differential inclusions in Hilbert spaces

P. Balasubramaniam, S.K. Ntouyas (2007)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In this paper, sufficient conditions are given for the existence of solutions for a class of second order stochastic differential inclusions in Hilbert space with the help of Leray-Schauder Nonlinear Alternative.