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

The nonlinear nth-order singular nonlocal boundary value problem

     

The topology of the monodromy map of a second order ODE

We consider the following question: given A∈SL(2,R), which potentials q for the second order Sturm-Liouville problem have A as its Floquet multiplier? More precisely, define the monodromy map μ taking a potential q∈L²([0,2π]) to , the lift to the universal cover of SL(2,R) of the fundamental matrix map ,

     

A complete classification of bifurcation diagrams of classes of multiparameter p-Laplacian boundary value problems

We study the bifurcation diagrams of positive solutions of the multiparameter p-Laplacian problem

     

Existence theory for positive solutions to one-dimensional p-Laplacian boundary value problems on time scales

In this paper we consider the one-dimensional p-Laplacian boundary value problem on time scales

     

Inverse spectral problems for Bessel operators

We study the inverse spectral problem for a class of Bessel operators given in L₂(0,1) by the differential expression

     

A global multiplicity result for N-Laplacian with critical nonlinearity of concave-convex type

Let Ω⊂RN, N?2, be a bounded domain. We consider the following quasilinear problem depending on a real parameter λ>0:

     

Exact asymptotic behavior near the boundary to the solution for singular nonlinear Dirichlet problems

We take up the existence and the exact asymptotic behavior near the boundary ∂Ω of the unique classical solution to a singular Dirichlet problem

     

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

     

Wave patterns, stability, and slow motions in inviscid and viscous hyperbolic equations with stiff reaction terms

We study the behavior of solutions to the inviscid (A=0) and the viscous (A>0) hyperbolic conservation laws with stiff source terms

     

Second order singular boundary value problems with integral boundary conditions

We study the second order singular boundary value problem

     

Multiple positive solutions for a quasilinear elliptic equation with critical exponential nonlinearity

Let Ω be a bounded domain in R^N,N≥2, with C² boundary. In this work, we study the existence of multiple positive solutions of the following problem:

     

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