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Poincare's problem in the class of almost periodic type functions
(Belgian Mathematical Soc Triomphe, 2015)
We consider the Poincare's classical problem of approximation for second order linear
differential equations in the class of almost periodic type functions. We obtain an explicit form
for solutions of these equations by ...
Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses
(Springer, 2016-08-01)
In this note we study the existence of global solutions for a class of impulsive abstract differential equations with non-instantaneous impulses. Specifically, we establish the existence of mild solutions on and the existence ...
Piecewise smooth dynamical systems: Persistence of periodic solutions and normal forms
(2016-04-05)
We consider an n-dimensional piecewise smooth vector field with two zones separated by a hyperplane σ which admits an invariant hyperplane Ω transversal to σ containing a period annulus A fulfilled by crossing periodic ...
Asymptotics for solutions of periodic difference systems
(2009)
Using dichotomies and periodic conditions, we obtain asymptotic formulas for solutions of a difference system of Poincaré type with periodic coefficients. Some results about the theory of existence of periodic solutions ...
Periodic solutions of differential equations with a general piecewise constant argument and applications
(UNIV SZEGED, BOLYAI INSTITUTE, 2010)
In this paper we investigate the existence of the periodic solutions
of a quasilinear differential equation with piecewise constant argument
of generalized type. By using some fixed point theorems and some new
analysis ...
On existence of periodic solutions for Kepler type problems
(Juliusz Schauder Ctr Nonlinear Studies, 2016-12)
We prove existence and multiplicity of periodic motions for the forced $2$-body problem under conditions of topological character. In different cases, the lower bounds obtained for the number of solutions are related to ...
On the periodic solutions of a class of duffing differential equations
(2013-01-01)
In this work we study the periodic solutions, their stability and bifurcation for the class of Duffing differential equation mathematical equation represented where C > 0, ε > 0 and Λ are real parameter, A(t), b(t) and ...
On the periodic solutions of a class of duffing differential equations
(2013-01-01)
In this work we study the periodic solutions, their stability and bifurcation for the class of Duffing differential equation mathematical equation represented where C > 0, ε > 0 and Λ are real parameter, A(t), b(t) and ...
Periodic solutions of el nino model through the vallis differential system
(Amer Inst Mathematical Sciences, 2014-09-01)
By rescaling the variables, the parameters and the periodic function of the Vallis differential system we provide sufficient conditions for the existence of periodic solutions and we also characterize their kind of stability. ...
Bounded and periodic solutions of nonlinear integro-differential equations with infinite delay
(2009)
By using the concept of integrable dichotomy, the fixed point theory, functional analysis methods and some new technique of analysis, we obtain new criteria for the existence and uniqueness of bounded and periodic solutions ...