For the second order boundary value problem, yâ€²â€² + f(y) = 0, 0 â‰¤ t â‰¤ 1, y(0) = 0 = y(1), where f : R â†’ [0, âˆž), growth conditions are imposed on f which yield the existence of at least three symmetricâ€¦ (More)

The Banach fixed point theorem and the nonlinear alternative of Lerayâ€“Schauder type are used to investigate the existence of solutions for fractional order functional and neutral functionalâ€¦ (More)

Values of Î» are determined for which there exist solutions in a cone of the n order nonlinear differential equation, u = Î»a(t)f(u), 0 < t < 1, satisfying the multipoint boundary conditions, u(ai) =â€¦ (More)

We prove the existence of at least one positive solution to the time-scale, delta-nabla dynamic equation, (g(uâˆ†))âˆ‡ + c(t)f(u) = 0, with boundary conditions, u(a) âˆ’ B0(u(Î½)) = 0 and u(b) = 0. Here,â€¦ (More)

We study the existence of solutions to the fourth order Lidstone boundary value problem y(t) = f(y(t),âˆ’y(t)), y(0) = y(0) = y(1) = y(1) = 0 . By imposing growth conditions on f and using aâ€¦ (More)

Values of Î» are determined for which there exist positive solutions of the system of three-point boundary value problems, u+Î»a(t)f(v) = 0, v+Î»b(t)g(u) = 0, for 0 < t < 1, and satisfying, u(0) =â€¦ (More)

M. Benchohra, J. R. Graef, J. Henderson and S. K. Ntouyas 1 Department of Mathematics, University of Sidi Bel Abbes BP 89 2000 Sidi Bel Abbes Algeria e-mail: benchohra@yahoo.com 2 Mathematicsâ€¦ (More)

The theory of u0-positive operators with respect to a cone in a Banach space is applied to eigenvalue problems associated with the second order âˆ†-differential equation (often referred to as aâ€¦ (More)