Positive periodic and subharmonic solutions of second order singular differential equations with impulsive effects

In this paper, we study the existence and multiplicity of positive periodic and subharmonic solutions of second order singulardifferential equations with impulsive effects. The proof is based on a generalized version of the Poincar\u27{e}-Birkhoff twist theorem due to Ding and some phase plane analysis methods

Multiplicity of solutions for Dirichlet boundary conditions of second-order quasilinear equations with impulsive effects

This paper deals with the multiplicity of solutions for Dirichlet boundary conditions of second-order quasilinear equations with impulsive effects. By using critical point theory, a new result is obtained. An example is given to illustrate the main result

Infinitely many solutions for a boundary value problem with impulsive effects

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A sufficient and necessary condition of existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator

In this paper, we establish the results of nonexistence and existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator. Under some suitable growth conditions for nonlinearity, the result of nonexistence of blow-up solutions is established, a sufficient and necessary condition on existence of blow-up solutions is given, and some further results are obtained.&nbsp

Infinitely many solutions for impulsive nonlinear fractional boundary value problems

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An Application of Variant Fountain Theorems to a Class of Impulsive Differential Equations with Dirichlet Boundary Value Condition

We consider the existence of infinitely many classical solutions to a class of impulsive differential equations with Dirichlet boundary value condition. Our main tools are based on variant fountain theorems and variational method. We study the case in which the nonlinearity is sublinear. Some recent results are extended and improved

Multiple solutions for a class of perturbed second-order differential equations with impulses

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