Existence results for -Laplacian boundary value problems on time scales.
The method of lower and upper solutions for periodic and anti-periodic difference equations.
An overview of the lower and upper solutions method with nonlinear boundary value conditions.
The method of lower and upper solutions for th-order periodic boundary value problems.
Existence and uniqueness of solutions of higher-order antiperiodic dynamic equations.
On homoclinic solutions of a semilinear -Laplacian difference equation with periodic coefficients.
An existence result for nonlinear fractional differential equations on Banach spaces.
Existence of solutions for elliptic systems with nonlocal terms in one dimension.
Existence and multiplicity of solutions for a periodic Hill's equation with parametric dependence and singularities.
A generalized upper and lower solutions method for nonlinear second order ordinary differential equations.
Extremality results for singular functional diffusion equations
Rapid convergence of approximate solutions for first order nonlinear boundary value problems.
Stability of periodic solutions of first-order difference equations lying between lower and upper solutions.
Existence results for systems of conformable fractional differential equations
In this article, we study the existence of solutions to systems of conformable fractional differential equations with periodic boundary value or initial value conditions. where the right member of the system is -carathéodory function. We employ the method of solution-tube and Schauder’s fixed-point theorem.
Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions
The purpose of this paper is to study the periodic boundary value problem -u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) when f satisfies the Carathéodory conditions. We show that a generalized upper and lower solution method is still valid, and develop a monotone iterative technique for finding minimal and maximal solutions.
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