Positive solutions for nonlinear nth-order singular eigenvalue problem with nonlocal conditions

The nonlinear nth-order singular nonlocal boundary value problem

     

The monotone method for periodic differential equations with the non well-ordered upper and lower solutions

In this paper, we consider the following periodic problem:

     

Solvability of second-order nonlinear three-point boundary value problems

We are interested in the existence of nontrivial solutions to the three-point boundary value problem (BVP):

(∗)     

A necessary and sufficient condition for the existence of positive solutions to a kind of singular three-point boundary value problem

In this paper, we are concerned with the following three point boundary value problem

     

Classification of resonant equations

Consider a singularly perturbed equation of the form

(1)     

Global bifurcation phenomena for singular one-dimensional p-Laplacian

In this paper, we present global existence results for the following problem

(P_λ)     

Oscillation theorems for self-adjoint matrix Hamiltonian systems

By using generalized Riccati technique, linear positive functional and the weighted averages technique, some new oscillation criteria for self-adjoint Hamiltonian matrix system

(E)     

Nonoscillation and positivity of solutions to first order state-dependent differential equations with impulses in variable moments

The state-dependent delay differential equation

     

One-dimensional p-Laplacian with a strong singular indefinite weight, I. Eigenvalue

In this paper, we prove the existence of eigenvalues for the problem

     

On periodic solutions of second-order differential equations with attractive-repulsive singularities

Sufficient conditions for the existence of a solution to the problem

     

Existence and multiplicity results for some nonlinear problems with singular ?-Laplacian

Using Leray-Schauder degree theory we obtain various existence and multiplicity results for nonlinear boundary value problems

     

Existence of multiple positive solutions of singular nonlinear boundary value problems

For a given positive integer N, we provide conditions on the nonlinear function f which guarantee that the boundary value problem

     

Periodic solutions of second order singular coupled systems

We establish the existence of periodic solutions for the second order non-autonomous singular coupled systems

     

Second order singular boundary value problems with integral boundary conditions

We study the second order singular boundary value problem

     

Optimal conditions of solvability of nonlocal problems for second-order ordinary differential equations

For the differential equation

u^″=f(t,u)     

The existence of multiple positive solutions for singular functional differential equations with sign-changing nonlinearity

In this paper, we study the existence of multiple positive solutions for boundary value problems based on second-order functional differential equations with the form

     

Heteroclinic connections for fully non-linear non-autonomous second-order differential equations

We investigate the solvability of the following strongly non-linear non-autonomous boundary value problem

     

Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem

We study the existence of positive solutions of the nonlinear boundary value problem

     

Higher order boundary value problems with nonhomogeneous boundary conditions

We study the following nonlinear boundary value problem with nonhomogeneous multi-point boundary condition

     

Duffing equation and action functional

In this paper, we investigate the periodic nonlinear second order ordinary differential equation with friction