Positive Periodic Solutions for Nonlinear Difference Equations with Periodic Coefficients
Copyright policy )Positive Periodic Solutions for Nonlinear Difference Equations with Periodic Coefficients
The authors consider the following boundary value problem \[ -\Delta [p(n-1)\Delta y(n-1)]+q(n) y(n)=f(n,y(n)), \quad n=1,2,\dots,N, \] \[ y(0)=y(N),\qquad p(0)\Delta y(0)=p(N)\Delta y(N). \] Using a fixed point theorem in cones, existence of one as well as two solutions is established for the boundary value problem. The authors also consider the boundary value problem with a parameter. Finally, existence of positive periodic solutions on the whole discrete axis is established when the coefficients of the boundary value problem are periodic.
- Ege University Turkey
positive periodic solution, Applied Mathematics, periodic coefficients, Discrete version of topics in analysis, difference equations, nonlinear difference equations, fixed point theorem in cones, periodic boundary conditions, Additive difference equations, Analysis
positive periodic solution, Applied Mathematics, periodic coefficients, Discrete version of topics in analysis, difference equations, nonlinear difference equations, fixed point theorem in cones, periodic boundary conditions, Additive difference equations, Analysis
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