Benchohra M

Publications (9)0 Total impact

• Source

  Available from: cornell.edu

  Article: On Quadratic Integral Equations of Urysohn Type in Fréchet Spaces

  Benchohra M, M. A. Darwish
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  ABSTRACT: In this paper, we investigate the existence of a unique solution on a semiinfinite interval for a quadratic integral equation of Urysohn type in Fréchet spaces using a nonlinear alternative of Leray-Schauder type for contractive maps.
  Acta Mathematica Universitatis Comenianae. 01/2010;
• Source

  Available from: hindawi.com

  Article: Some Results for Integral Inclusions of Volterra Type in Banach Spaces

  R. P. Agarwal, Benchohra M, J. J. Nieto, Ouahab A
  Advances in Difference Equations. 01/2010;
• Source

  Available from: hindawi.com

  Article: Eigenvalue Problems for Systems of Nonlinear Boundary Value Problems on Time Scales

  Benchohra M, Henderson J, S. K. Ntouyas
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  ABSTRACT: Values of λ are determined for which there exist positive solutions of the system of dynamic equations, uΔΔ(t)+λa(t)f(v(σ(t)))=0, vΔΔ(t)+λb(t)g(u(σ(t)))=0, for t∈[0,1]T, satisfying the boundary conditions, u(0)=0=u(σ2(1)), v(0)=0=v(σ2(1)), where T is a time scale. A Guo-Krasnosel'skii fixed point-theorem is applied.
  Advances in Difference Equations. 01/2008;
• Source

  Available from: hindawi.com

  Article: On nondensely defined semilinear stochastic functional differential equations with nonlocal conditions

  Benchohra M, S. K. Ntouyas, Ouahab A
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  ABSTRACT: The nonlinear alternative of Leray-Schauder type is used to investigate the existence of solutions for first-order semilinear stochastic functional differential equations in Hilbert spaces.
  Journal of Applied Mathematics and Stochastic Analysis. 01/2006;
• Source

  Available from: Mohammed Belmekki

  Article: Existence results for semilinear perturbed functional differential equations with nondensely defined operators

  Belmekki M, Benchohra M, S. K. Ntouyas
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  ABSTRACT: We will establish sufficient conditions for the existence of integral solutions and extremal integral solutions for semilinear functional differential equations with nondensely defined operators in Banach spaces.
  Fixed Point Theory and Applications. 01/2006;
• Source

  Available from: Effrosyni Gatsori

  Article: Multivalued semilinear neutral functional differential equations with nonconvex-valued right-hand side

  Benchohra M, Gatsori E, S. K. Ntouyas
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  ABSTRACT: We investigate the existence of mild solutions on acompact interval to some classes of semilinear neutral functional differential inclusions. We will rely on a fixed-point theorem for contraction multivalued maps due to Covitz and Nadler and on Schaefer's fixed-point theorem combined with lower semicontinuous multivalued operators with decomposable values.
  Abstract and Applied Analysis. 01/2004;
• Source

  Available from: hindawi.com

  Article: Initial and boundary value problems for nonconvex valued multivalued functional differential equations

  Benchohra M, S. K. Ntouyas
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  ABSTRACT: In this note we investigate the existence of solutions of initial and boundary value problems defined on a compact interval to some classes of functional differential inclusions. We shall rely on a fixed point theorem for contraction multivalued maps due to Covitz and Nadler and Schafer's theorem combined with lower semicontinuous multivalued operators with decomposable values.
  Journal of Applied Mathematics and Stochastic Analysis. 01/2003;
• Source

  Available from: hindawi.com

  Article: On second order impulsive functional differential equations in Banach spaces

  Benchohra M, S. K. Ntouyas
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  ABSTRACT: In this paper, a fixed point theorem due to Schaefer is used to investigate the existence of solutions for second order impulsive functional differential equations in Banach spaces.
  Journal of Applied Mathematics and Stochastic Analysis. 01/2002;
• Source

  Available from: hindawi.com

  Article: On second-order multivalued impulsive functional differential inclusions in Banach spaces

  Benchohra M, Henderson J, S. K. Ntouyas
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  ABSTRACT: A fixed point theorem for condensing maps due to Martelli is used to investigate the existence of solutions to second-order impulsive initial value problem for functional differential inclusions in Banach spaces.
  Abstract and Applied Analysis. 01/2001;