On the existence of solutions for impulsive Duffing dynamic equations on time scales with Dirichlet boundary conditions.
On the solvability of anti-periodic boundary value problems with impulses.
On the solvability of second-order impulsive differential equations with antiperiodic boundary value conditions.
On variational impulsive boundary value problems
Using the variational approach, we investigate the existence of solutions and their dependence on functional parameters for classical solutions to the second order impulsive boundary value Dirichlet problems with L1 right hand side.
Periodic BVP with -Laplacian and impulses
The paper deals with the impulsive boundary value problem The method of lower and upper solutions is directly applied to obtain the results for this problems whose right-hand sides either fulfil conditions of the sign type or satisfy one-sided growth conditions.
Positive solutions for impulsive equations of third order in Banach space.
Positive solutions of th-order nonlinear impulsive differential equation with nonlocal boundary conditions.
Quasilinearization for the periodic boundary value problem for systems of impulsive differential equations.
Second order BVPs with state dependent impulses via lower and upper functions
The paper deals with the following second order Dirichlet boundary value problem with p ∈ ℕ state-dependent impulses: z″(t) = f (t,z(t)) for a.e. t ∈ [0, T], z(0) = z(T) = 0, z′(τ i+) − z′(τ i−) = I i(τ i, z(τ i)), τ i = γ i(z(τ i)), i = 1,..., p. Solvability of this problem is proved under the assumption that there exists a well-ordered couple of lower and upper functions to the corresponding Dirichlet problem without impulses.
Second order nonlinear differential equations with linear impulse and periodic boundary conditions
In this study, we establish existence and uniqueness theorems for solutions of second order nonlinear differential equations on a finite interval subject to linear impulse conditions and periodic boundary conditions. The results obtained yield periodic solutions of the corresponding periodic impulsive nonlinear differential equation on the whole real axis.
Solutions to boundary-value problems for second-order impulsive differential equations at resonance.
Solvability for second order nonlinear impulsive boundary value problems.
Solvability of second-order -point boundary value problems with impulses.
Some results for fractional impulsive boundary value problems on infinite intervals
In this paper, we consider a fractional impulsive boundary value problem on infinite intervals. We obtain the existence, uniqueness and computational method of unbounded positive solutions.
Structure of solutions sets and a continuous version of Filippov's theorem for first order impulsive differential inclusions with periodic conditions.
Studies on BVPs for IFDEs involved with the Riemann-Liouville type fractional derivatives
In this article, we present a new method for converting the boundary value problems for impulsive fractional differential systems involved with the Riemann-Liouville type derivatives to integral systems, some existence results for solutions of a class of boundary value problems for nonlinear impulsive fractional differential systems at resonance case and non-resonance case are established respectively. Our analysis relies on the well known Schauder’s fixed point theorem and coincidence degree theory....
Variational method to the impulsive equation with Neumann boundary conditions.