Multiple positive solutions for a class of nonresonant singular boundary-value problems.
Multiple positive solutions for nonlinear singular third-order boundary value problem in abstract spaces.
Multiple positive solutions for singular boundary-value problems with derivative dependence on finite and infinite intervals.
Multiple positive solutions for singular -point boundary-value problems with nonlinearities depending on the derivative.
Multiple positive solutions for singular quasilinear multipoint BVPs with the first-order derivative.
Multiple positive solutions in the sense of distributions of singular BVPs on time scales and an application to Emden-Fowler equations.
Multiple positive solutions of a nonlinear four-point singular boundary value problem with a -Laplacian operator on time scales.
Multiple positive solutions of a singular Emden-Fowler type problem for second-order impulsive differential systems.
Multiple positive solutions of a singular fractional boundary value problem.
Multiple positive solutions of nonlinear singular -point boundary value problem for second-order dynamic equations with sign changing coefficients on time scales.
Multiple positive solutions of the singular boundary value problem for second-order impulsive differential equations on the half-line.
Multiplicity of positive periodic solutions of singular semipositone third-order boundary value problems.
Multiplicity of positive solutions for a fourth-order quasilinear singular differential equation.
Multipoint singular boundary-value problem for systems of nonlinear differential equations.
Necessary and sufficient conditions for the existence of positive solution for singular boundary value problems on time scales.
New existence results of anti-periodic solutions of nonlinear impulsive functional differential equations
This paper is a continuation of Y. Liu, Anti-periodic solutions of nonlinear first order impulsive functional differential equations, Math. Slovaca 62 (2012), 695–720. By using Schaefer's fixed point theorem, new existence results on anti-periodic solutions of a class of nonlinear impulsive functional differential equations are established. The techniques to get the priori estimates of the possible solutions of the mentioned equations are different from those used in known papers. An example is...
New existence theorems of positive solutions for singular boundary value problems.
New fixed point theorems of mixed monotone operators and applications to singular boundary value problems on time scales.
On a nonlocal boundary value problem for second-order nonlinear singular differential equations.
On a singular multi-point third-order boundary value problem on the half-line
We establish not only sufficient but also necessary conditions for existence of solutions to a singular multi-point third-order boundary value problem posed on the half-line. Our existence results are based on the Krasnosel’skii fixed point theorem on cone compression and expansion. Nonexistence results are proved under suitable a priori estimates. The nonlinearity which satisfies upper and lower-homogeneity conditions in the space variables may be also singular at time . Two examples of applications...