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Periodic solutions of second order non-autonomous singular dynamical systems
Abstract In this paper, we establish two different existence results of positive periodic solutions for second order non-autonomous singular dynamical systems. The first one is based on a nonlinearExpand
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Multiplicity of positive periodic solutions to superlinear repulsive singular equations
Abstract In this paper, we study positive periodic solutions to the repulsive singular perturbations of the Hill equations. It is proved that such a perturbation problem has at least two positiveExpand
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Positive solutions for singular non-linear third-order periodic boundary value problems
Abstract In this paper, we are concerned with the problem of the existence of positive solutions for non-linear third-order periodic boundary value problem u ‴ + ρ 3 u = f ( t , u ) , 0 ⩽ t ⩽ 2 π , uExpand
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Nonuniform dichotomy spectrum and reducibility for nonautonomous equations
Abstract For nonautonomous linear differential equations with nonuniform hyperbolicity, we introduce a definition for nonuniform dichotomy spectrum, which can be seen as a generalization ofExpand
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Applications of Schauder's fixed point theorem to singular differential equations
In this paper, we study the existence of positive periodic solutions to second-order singular differential equations. The proof relies on Schauder’s fixed point theorem. Our results show that in someExpand
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Positive solutions of Neumann problems with singularities
Abstract In this paper, we study the existence of positive solutions to second order singular equations with Neumann boundary conditions. The proof of the main result relies on a nonlinearExpand
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Periodic solutions for second order singular damped differential equations
Abstract We study the existence of positive periodic solutions for second order singular damped differential equations by combining the analysis of the sign of Greenʼs functions for the linear dampedExpand
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Impulsive periodic solutions of first-order singular differential equations
In this work, we study the impulsive periodic solutions of first-order singular ordinary differential equations. The proof is based on a nonlinear alternative principle of Leray-Schauder, togetherExpand
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Periodic solution generated by impulses for singular differential equations
Abstract In this paper, we study the existence of a positive periodic solution for second-order singular differential equations with impulsive conditions. The proof is based on the mountain-passExpand
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Eigenvalues and discrete boundary value problems for the one-dimensional p-laplacian
Abstract In this paper, we characterize the eigenvalues and show existence of positive solutions to discrete boundary value problem (here ϕ ( s ) = | s | p − 2 s , p > 1 and λ > 0 is a parameter) { ΔExpand
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