Positive solutions for singular discrete boundary value problems.
Positive solutions for singular -point boundary value problems with sign changing nonlinearities depending on .
Positive solutions for singular nonlinear beam equation.
Positive solutions for singular semi-positone Neumann boundary-value problems.
Positive solutions for singular Sturm-Liouville boundary value problems with integral boundary conditions.
Positive solutions for singular Sturm-Liouville boundary value problems on the half line.
Positive solutions for singular three-point boundary-value problems.
Positive solutions for singular three-point boundary-value problems.
Positive solutions for singular three-point boundary-value problems with sign changing nonlinearities depending on .
Positive solutions for singular -Laplacian BVPs on the positive half-line.
Positive solutions for systems of nonlinear singular differential equations.
Positive solutions for third order multi-point singular boundary value problems
We study a third order singular boundary value problem with multi-point boundary conditions. Sufficient conditions are obtained for the existence of positive solutions of the problem. Recent results in the literature are significantly extended and improved. Our analysis is mainly based on a nonlinear alternative of Leray-Schauder.
Positive solutions of a singular positone and semipositone boundary value problems for fourth-order difference equations.
Positive solutions of four-point boundary-value problems for four-order -Laplacian dynamic equations on time scales.
Positive solutions of second order boundary value problems with changing signs Carathéodory nonlinearities.
Positive solutions of singular elliptic equations outside the unit disk.
Positive solutions of singular four-point boundary value problem with -Laplacian.
Positive solutions of singular fourth-order boundary-value problems.
Positive solutions of three-point boundary-value problems for p-Laplacian singular differential equations.
Positive solutions to a class of elastic beam equations with semipositone nonlinearity
Let h ∈ L¹[0,1] ∩ C(0,1) be nonnegative and f(t,u,v) + h(t) ≥ 0. We study the existence and multiplicity of positive solutions for the nonlinear fourth-order two-point boundary value problem , 0 < t < 1, u(0) = u’(0) = u’(1) =u”’(1) =0, where the nonlinear term f(t,u,v) may be singular at t=0 and t=1. By constructing a suitable cone and integrating certain height functions of f(t,u,v) on some bounded sets, several new results are obtained. In mechanics, the problem models the deflection of...