Noha El KHATTABI - Academia.edu (original) (raw)
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Papers by Noha El KHATTABI
Journal of Fixed Point Theory and Applications, Mar 1, 2015
Discrete and Continuous Dynamical Systems
Advanced Nonlinear Studies
In this article, we establish existence and multiplicity results for first-order Stieltjes differ... more In this article, we establish existence and multiplicity results for first-order Stieltjes differential equations satisfying a periodic boundary condition or an initial value condition. No monotonicity condition involving the right-hand side f f is imposed at the discontinuity points of the derivator g g . Our results rely on the fixed point index theory and new notions of strict lower and upper solutions. An application to a population model with an extreme event is presented to study the persistence of a species.
Boundary Value Problems, 2013
In this paper, we establish the existence of multiple solutions to second-order differential equa... more In this paper, we establish the existence of multiple solutions to second-order differential equations with ϕ-Laplacian satisfying periodic, Dirichlet or Neumann boundary conditions. The right-hand side is a Carathéodory function satisfying a growth condition of Wintner-Nagumo type. The existence of upper and lower solutions is assumed. The proofs rely on the fixed point index theory. MSC: 34B15, 34C25, 47H10, 37C25, 47H11.
Journal of Fixed Point Theory and Applications, Mar 1, 2015
Discrete and Continuous Dynamical Systems
Advanced Nonlinear Studies
In this article, we establish existence and multiplicity results for first-order Stieltjes differ... more In this article, we establish existence and multiplicity results for first-order Stieltjes differential equations satisfying a periodic boundary condition or an initial value condition. No monotonicity condition involving the right-hand side f f is imposed at the discontinuity points of the derivator g g . Our results rely on the fixed point index theory and new notions of strict lower and upper solutions. An application to a population model with an extreme event is presented to study the persistence of a species.
Boundary Value Problems, 2013
In this paper, we establish the existence of multiple solutions to second-order differential equa... more In this paper, we establish the existence of multiple solutions to second-order differential equations with ϕ-Laplacian satisfying periodic, Dirichlet or Neumann boundary conditions. The right-hand side is a Carathéodory function satisfying a growth condition of Wintner-Nagumo type. The existence of upper and lower solutions is assumed. The proofs rely on the fixed point index theory. MSC: 34B15, 34C25, 47H10, 37C25, 47H11.