Positive and bounded solutions of discrete reaction-diffusion equations.
Positive periodic solution for ratio-dependent -species discrete time system
In this paper, sharp a priori estimate of the periodic solutions is obtained for the discrete analogue of the continuous time ratio-dependent predator-prey system, which is governed by nonautonomous difference equations, modelling the dynamics of the competing preys and one predator having nonoverlapping generations. Based on more precise a priori estimate and the continuation theorem of the coincidence degree, an easily verifiable sufficient criterion of the existence of positive periodic solutions...
Positive periodic solutions of neutral logistic difference equations with multiple delays.
Positive solution to a singular -Laplacian BVP with sign-changing nonlinearity involving derivative on time scales.
Positive solutions for boundary value problems of second-order functional dynamic equations on time scales.
Positive solutions for multiparameter semipositone discrete boundary value problems via variational method.
Positive solutions for nonlinear difference equations involving the -Laplacian with sign changing nonlinearity.
Positive solutions for singular discrete boundary value problems.
Positive solutions of a singular positone and semipositone boundary value problems for fourth-order difference equations.
Positive solutions of a three-point boundary-value problem on a time scale.
Positive solutions of functional difference equations with -Laplacian operator.
Positive solutions of second order nonlinear difference boundary value problems.
Positive solutions of two-point right focal eigenvalue problems on time scales.
Positive solutions to nonlinear second-order three-point boundary-value problems for difference equation with change of sign.
Properties of solutions to nonlinear dynamic integral equations on time scales.
-dominant and -recessive matrix solutions for linear quantum systems.
Quasi-adjoint third order difference equations: Oscillatory and asymptotic behavior.
Relations between limit-point and Dirichlet properties of second-order difference operators.
Representation of solutions of linear discrete systems with constant coefficients and pure delay.
Ruelle operator with nonexpansive IFS
The Ruelle operator and the associated Perron-Frobenius property have been extensively studied in dynamical systems. Recently the theory has been adapted to iterated function systems (IFS) , where the ’s are contractive self-maps on a compact subset and the ’s are positive Dini functions on X [FL]. In this paper we consider Ruelle operators defined by weakly contractive IFS and nonexpansive IFS. It is known that in such cases, positive bounded eigenfunctions may not exist in general. Our theorems...