Semiclassical limit of the spectral decomposition of a Schrödinger operator in one dimension.
Scattering and spectral theory for Stark Hamiltonians in one dimension.
Nonlocal boundary value problem for impulsive differential equations of fractional order.
Positive solutions for second-order m-point boundary-value problems with nonlinearity depending on the first derivative.
Sufficient condition for existence of solutions for higher-order resonance boundary value problem with one-dimensional p-Laplacian.
Some necessary and sufficient conditions for the output controllability of temporal Boolean control networks
This paper investigates the output controllability problem of temporal Boolean networks with inputs (control nodes) and outputs (controlled nodes). A temporal Boolean network is a logical dynamic system describing cellular networks with time delays. Using semi-tensor product of matrices, the temporal Boolean networks can be converted into discrete time linear dynamic systems. Some necessary and sufficient conditions on the output controllability two kinds of inputs are obtained by providing corresponding...
Blow-up of a nonlocal p-Laplacian evolution equation with critical initial energy
This paper is concerned with the initial boundary value problem for a nonlocal p-Laplacian evolution equation with critical initial energy. In the framework of the energy method, we construct an unstable set and establish its invariance. Finally, the finite time blow-up of solutions is derived by a combination of the unstable set and the concavity method.
The uniqueness of meromorphic functions ink-punctured complex plane
The main purpose of this paper is to investigate the uniqueness of meromorphic functions that share two finite sets in the k-punctured complex plane. It is proved that there exist two sets S1, S2 with ♯S1 = 2 and ♯S2 = 5, such that any two admissible meromorphic functions f and g in Ω must be identical if EΩ(Sj, f) = EΩ(Sj, g)(j = 1,2).
Existence of solutions for a fourth-order boundary-value problem.
Stability analysis of high-order Hopfield-type neural networks based on a new impulsive differential inequality
This paper is devoted to studying the globally exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays. In the process of impulsive effect, nonlinear and delayed factors are simultaneously considered. A new impulsive differential inequality is derived based on the Lyapunov-Razumikhin method and some novel stability criteria are then given. These conditions, ensuring the global exponential stability, are simpler and less conservative than some of the previous...
Solvability for second-order m-point boundary value problems at resonance on the half-line.
Triple positive solutions for second-order four-point boundary value problem with sign changing nonlinearities.
Green's function and positive solutions of a singular th-order three-point boundary value problem on time scales.
Existence of multiple positive solutions of higher order multi-point nonhomogeneous boundary value problem.
An extension of Schwick's theorem for normal families
In this paper, the definition of the derivative of meromorphic functions is extended to holomorphic maps from a plane domain into the complex projective space. We then use it to study the normality criteria for families of holomorphic maps. The results obtained generalize and improve Schwick's theorem for normal families.
Positive solutions for nonlinear semipositone th-order boundary value problems.
Existence of positive solutions for nth-order boundary value problem with sign changing nonlinearity.
Predictor-corrector methods for generalized general multivalued mixed quasi variational inequalities.
A new global optimization algorithm for solving generalized geometric programming.
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