Displaying similar documents to “Generators for nonlinear three term recurrences involving the greatest integer function.”

Periodic Solutions of Scalar Differential Equations without Uniqueness

Stanisław Sȩdziwy (2009)

Bollettino dell'Unione Matematica Italiana

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The note presents a simple proof of a result due to F. Obersnel and P. Omari on the existence of periodic solutions with an arbitrary period of the first order scalar differential equation, provided equation has an n-periodic solution with the minimal period n > 1.

Nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions

Bashir Ahmad, Sotiris K. Ntouyas (2012)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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This article studies a boundary value problem of nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions. Some existence results are obtained via fixed point theorems. The cases of convex-valued and nonconvex-valued right hand sides are considered. Several new results appear as a special case of the results of this paper.

Periodic Solutions for Nonlinear Evolution Equations with Non-instantaneous Impulses

Michal Fečkan, JinRong Wang, Yong Zhou (2014)

Nonautonomous Dynamical Systems

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In this paper, we consider periodic solutions for a class of nonlinear evolution equations with non-instantaneous impulses on Banach spaces. By constructing a Poincaré operator, which is a composition of the maps and using the techniques of a priori estimate, we avoid assuming that periodic solution is bounded like in [1-4] and try to present new sufficient conditions on the existence of periodic mild solutions for such problems by utilizing semigroup theory and Leray-Schauder's fixed...