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Existence and uniqueness of positive periodic solutions for a class of integral equations with parameters

Shu-Gui Kang, Bao Shi, Sui Sun Cheng (2009)

Annales Polonici Mathematici

Existence of periodic solutions of functional differential equations with parameters such as Nicholson’s blowflies model call for the investigation of integral equations with parameters defined over spaces with periodic structures. In this paper, we study one such equation $ϕ (x) = λ \int_{[x, x + ω] \cap Ω} K (x, y) h (y) f (y, ϕ (y - τ (y))) d y$ , x ∈ Ω, by means of the proper value theory of operators in Banach spaces with cones. Existence, uniqueness and continuous dependence of proper solutions are established.

Existence and uniqueness of solutions for the fractional integro-differential equations in Banach spaces.

Wu, Jun, Liu, Yicheng (2009)

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

Existence and uniqueness of solutions of nonlinear mixed integrodifferential equations with nonlocal condition in Banach spaces.

Dhakne, Machindra B., Tidke, Haribhau L. (2011)

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

Existence and uniqueness of solutions to fractional semilinear mixed Volterra-Fredholm integrodifferential equations with nonlocal conditions.

Matar, Mohammed M. (2009)

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

Existence and Uniqueness Theorems for a Nonlinear Integral Equation.

Roberto Ramalho (1976)

Mathematische Annalen

Existence and upper semicontinuity of global attractors for neural fields in an unbounded domain.

da Silva, Severino Horacio (2010)

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

Existence criteria for integral equations in Banach spaces.

O'Regan, Donal, Precup, Radu (2001)

Journal of Inequalities and Applications [electronic only]

Existence for nonconvex integral inclusions via fixed points

Aurelian Cernea (2003)

Archivum Mathematicum

We consider a nonconvex integral inclusion and we prove a Filippov type existence theorem by using an appropiate norm on the space of selections of the multifunction and a contraction principle for set-valued maps.

Existence of global solutions to nonlinear mixed Volterra-Fredholm integrodifferential equations with nonlocal conditions.

Tidke, Haribhau L. (2009)

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

Existence of periodic solutions for integrodifferential impulsive periodic system on Banach space.

Wang, Jinrong, Xiang, X., Wei, W. (2008)

Abstract and Applied Analysis

Existence of solutions for a class of quasi-linear singular integro-differential equations in a Sobolev space.

Hassan, A.A.M., Amer, S.M. (2009)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Existence of Solutions for a Class of Quasi-Linear Singular Integro-Differential Equations

Hassan, A. A. M., Amer, S. M. (2007)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 45F15, 45G10, 46B38.An existence theorem is proved for a class of quasi-linear singular integro-differential equations with Cauchy kernel.

Existence of solutions for integrodifferential equations of fractional order with antiperiodic boundary conditions.

Alsaedi, Ahmed (2009)

International Journal of Differential Equations

Existence of Solutions for Integrodifferential Inclusions in Banach Spaces

Nikolaos S. Papageorgiou (1994)

Publications de l'Institut Mathématique

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.