Oscillation for nonlinear neutral difference equations.
Oscillation of nonlinear first order neutral difference equations.
Existence of solutions for a nonlinear algebraic system.
Twin positive solutions of a nonlinear -point boundary value problem for third-order -Laplacian dynamic equations on time scales.
Existence of positive periodic solutions for non-autonomous functional differential equations.
The P-Laplacian spectral radius of weighted trees with a degree sequence and a weight set.
Monotone solutions of a higher-order neutral difference equation.
Convergence and periodicity of solutions for a class of difference systems.
Existence of positive solutions for a discrete three-point boundary value problem.
Positive periodic solutions of nonautonomous functional differential equations depending on a parameter.
Existence of positive solutions for singular second order boundary value problems.
Periodic solutions for a coupled pair of delay difference equations.
Positive periodic solutions of abstract difference equations.
Exact traveling wave solutions for discrete conservation laws.
Existence of triple positive periodic solutions of a functional differential equation depending on a parameter.
Existence criteria for positive solutions of a nonlinear difference inequality
This paper is concerned with a class of nonlinear difference inequalities which include many different classes of difference inequalities and equations as special cases. By means of a Riccati type transformation, necessary and sufficient conditions for the existence of eventually positive solutions and positive nonincreasing solutions are obtained. Various type of comparison theorems are also derived as applications, which extends many theorems in the literature.
Asymptotic dichotomy for nonoscillatory solutions of a nonlinear difference equation
A nonlinear difference equation involving the maximum function is studied. We derive sufficient conditions in order that eventually positive or eventually negative solutions tend to zero or to positive or negative infinity.
On unstable neutral difference equations with ``maxima''
Nota sobre un sistema compartimentado con retrasos.
The first Dirichlet eigenvalue of bicyclic graphs
In this paper, we have investigated some properties of the first Dirichlet eigenvalue of a bicyclic graph with boundary condition. These results can be used to characterize the extremal bicyclic graphs with the smallest first Dirichlet eigenvalue among all the bicyclic graphs with a given graphic bicyclic degree sequence with minor conditions. Moreover, the extremal bicyclic graphs with the smallest first Dirichlet eigenvalue among all the bicycle graphs with fixed interior vertices of degree...
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