Positive solutions of second order semipositone singular three-point boundary value problems.
Positive solutions of second-order singular boundary value problem with a Laplace-like operator.
Positive solutions of singular four-point boundary value problem with -Laplacian.
Positive solutions of singular fourth-order boundary-value problems.
Positive solutions of singular multipoint boundary value problems for systems of nonlinear second-order differential equations on infinite intervals in Banach spaces.
Positive solutions of some higher order nonlocal boundary value problems.
Positive solutions of some nonlocal boundary value problems.
Positive solutions of some three-point boundary value problems via fixed point index for weakly inward -proper maps.
Positive solutions of systems of boundary value problems.
Positive solutions of the conjugate boundary value problem.
Positive solutions of three-point boundary value problems for higher-order -Laplacian with infinitely many singularities.
Positive solutions of three-point boundary-value problems for p-Laplacian singular differential equations.
Positive solutions of three-point nonlinear second order boundary value problem.
Positive solutions to a boundary-value problem for second order ordinary 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...
Positive solutions to a generalized second-order three-point boundary-value problem on time scales.
Positive solutions to a nonlinear third order three-point boundary value problem.
Positive solutions to a second-order multi-point boundary-value problem.
Positive solutions to a singular fourth-order two-point boundary value problem
This paper studies the existence of multiple positive solutions to a nonlinear fourth-order two-point boundary value problem, where the nonlinear term may be singular with respect to both time and space variables. In order to estimate the growth of the nonlinear term, we introduce new control functions. By applying the Hammerstein integral equation and the Guo-Krasnosel'skii fixed point theorem of cone expansion-compression type, several local existence theorems are proved.
Positive solutions to an th order right focal boundary value problem.