Second-order boundary value problem with integral boundary conditions.
Second-order differential inclusions with Lipschitz right-hand sides.
Second-order viability result in Banach spaces
We show the existence result of viable solutions to the second-order differential inclusion ẍ(t) ∈ F(t,x(t),ẋ(t)), x(0) = x₀, ẋ(0) = y₀, x(t) ∈ K on [0,T], where K is a closed subset of a separable Banach space E and F(·,·,·) is a closed multifunction, integrably bounded, measurable with respect to the first argument and Lipschitz continuous with respect to the third argument.
Self-adjoint boundary-value problems on time-scales.
Semiclassical states for weakly coupled nonlinear Schrödinger systems
We consider systems of weakly coupled Schrödinger equations with nonconstant potentials and investigate the existence of nontrivial nonnegative solutions which concentrate around local minima of the potentials. We obtain sufficient and necessary conditions for a sequence of least energy solutions to concentrate.
Semilinear elliptic boundary-value problems on bounded multiconnected domains.
Semilinear problems with nonlinearities depending only on derivatives
Semipositone -point boundary-value problems.
Several existence theorems of monotone positive solutions for third-order multipoint boundary value problems.
Several existence theorems of multiple positive solutions of nonlinear -point BVP for an increasing homeomorphism and homomorphism on time scales.
Several existence theorems of nonlinear -point BVP for an increasing homeomorphism and homomorphism on time scales.
Sharp estimates for the Ambrosetti-Hess problem and consequences
Motivated by [3], we define the “Ambrosetti–Hess problem” to be the problem of bifurcation from infinity and of the local behavior of continua of solutions of nonlinear elliptic eigenvalue problems. Although the works in this direction underline the asymptotic properties of the nonlinearity, here we point out that this local behavior is determined by the global shape of the nonlinearity.
Shooting methods for transferable DAEs---solution of shooting equation
Sign changing Lyapunov functions and perturbation of invariant tori of dynamical systems
Sign conditions in nonlinear boundary value problems
Sign-changing solutions for discrete second-order three-point boundary value problems.
Similarities of discrete and continuous Sturm-Liouville problems.
Similarity of solution branches for two-point semilinear problems.
Similarity solutions for high frequency excitation of liquid metal in an antisymmetric magnetic field
The aim of this paper is to investigate, as precisely as possible, a boundary value problem involving a third order ordinary differential equation. Its solutions are the similarity solutions of a problem arising in the study of the phenomenon of high frequency excitation of liquid metal systems in an antisymmetric magnetic field within the framework of boundary layer approximation.
Singular and nonsingular boundary value problems with sign changing nonlinearities.