On Max Muller's existence-comparison theorem for infinite systems of ordinary differential equations

Existence, Multiplicity, and Bifurcation in Systems of Ordinary Differential Equations

We prove new non-resonance conditions for boundary value problems for two dimensional systems of ordinary differential equations. We apply these results to the existence of solutions to nonlinear problems. We then study global bifurcation for such systems of ordinary differential equations Rotation numbers are associated with solutions and are shown to be invariant along bifurcating continua. T...

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

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About reducing integro-differential equations with infinite limits of integration to systems of ordinary differential equations

*Correspondence: [email protected] Department of Mathematics and Computer Sciences, Ariel University of Samaria, Ariel, Israel Abstract The purpose of this paper is to propose a method for studying integro-differential equations with infinite limits of integration. The main idea of this method is to reduce integro-differential equations to auxiliary systems of ordinary differential equations. Re...

Volterra integro-differential equations and infinite systems of ordinary differential equations

Existence Theorem for First Order Ordinary Functional Differential Equations with Periodic Boundary Conditions