Multiple Periodic Solutions
The Clark dual and multiple periodic solutions of delay differential equations
... We study the multiplicity of periodic solutions of a class of non-autonomous delay differential equations. By making full use of the Clark dual, the dual variational functional is considered. Some ...
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Multiple Periodic Solutions for Difference Equations with Double Resonance at Infinity
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2011, Article ID 806458, 15 pages doi 10 1155/2011/806458 Research Article Multiple Periodic Solutions for Difference Equations w[.] ...
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Multiple Periodic Solutions to Nonlinear Discrete Hamiltonian Systems
... of multiple periodic solutions and subharmonic solutions to ...of periodic solutions to ...of periodic solutions to a class of second difference equation by using ...
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Multiple Periodic Solutions for Some Classes of First Order Hamiltonian Systems
... the author has shown in [9] that system () possesses at least p 1 geometrically distinct periodic solutions. The first goal of this note is to generalize the existence result of multiple ...
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Multiple periodic solutions for a class of second order neutral functional differential equations
... have also been employed to prove the existence of multiple periodic solutions of mixed type differential equations in []. When (.) reduces to the special case, see system (.), we obtain a more ...
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Multiple periodic solutions for the second order nonlinear difference equations
... Hence it is natural for us to consider the case β = δ + 1. In the present papere, the mo- tivation comes from the recent papers [6, 7, 14, 18]. By virtue of the minimax methods with variational techniques, the ...
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Multiple periodic solutions for second order Josephson-type differential systems
... for multiple periodic solutions of second order Josephson-type differential systems with partially periodic potential by using the minimax methods in critical point theory, which generalize and ...
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Multiple periodic solutions for damped vibration systems with superquadratic terms at infinity
... By using variational methods, we obtain infinitely many nontrivial periodic solutions for a class of damped vibration systems with superquadratic terms at infinity. By using some weaker conditions, our ...
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Multiple periodic solutions for resonant difference equations
... of periodic solutions and solutions for nonlinear difference boundary value problems since the first result was established by using variational methods in (see ...of solutions for non- ...
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Multiple periodic solutions to a class of nonautonomous second-order delay differential equation
... of periodic solutions to ordinary differential systems as well as partial differential equa- tions (see ...of periodic solutions for delay differential ...of periodic solutions for ...
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Multiple periodic solutions of high order differential delay equations with \(2k 1\) lags
... the periodic solutions of high order differential delay equations with 2k – 1 ...4k-periodic solutions are obtained by using the variational method and the method of Kaplan–Yorke coupling ...
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Multiple periodic solutions in shifts δ± for an impulsive functional dynamic equation on time scales
... of periodic solutions is an important topic in qualitative analysis of functional dynamic ...concerning periodic solutions of dynamic equations on time scales; see, for example, [, ...of ...
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Multiple periodic solutions for a discrete time model of plankton allelopathy
... The paper is organized as follows. In Section 2, we propose a discrete analogue of sys- tem (1.2). In Section 3, motivated by the recent work of Fan and Wang [4] and Chen [3], we study the existence of multiple ...
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Existence of periodic solutions and homoclinic orbits for third order nonlinear differential equations
... Theorem 4.6, γ(t) is a homoclinic. The second case shows that γ(t) is a part of a heteroclinic. If the second case occurs, then each solution of (5.20), which lies in heteroclinic, is bounded. By the Poincaré-Bendixon ...
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Recent Existence Results for Second-Order Singular Periodic Differential Equations
... In the literature, two different approaches have been used to establish the existence results for singular equations. The first one is the variational approach 14–16, and the second one is topological methods. Because we ...
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Almost periodic solutions of impulsive Lasota-Wazewska model with multiple time-varying delays on time scales
... almost periodic solutions for an impulsive Lasota-Wazewska model with multiple time-varying delays on time scales, to the best of our knowledge, the as- pect results have not yet appeared in the ...
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On periodic one parameter groups of linear operators in a Banach space and applications
... continuous periodic one-parameter group of linear operators in a Banach ...of periodic solutions of a linear differential equation of the nth order with constant coefficients and systems of linear ...
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Periodic solutions of periodic generalized food limited model
... functions, and θ is a positive odd number. For the ecological sense of (1.4), we refer to [3] and the references therein. For some work concerning the existence of periodic solutions of functional ...
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Asymptotically Almost Periodic Solutions of Differential Equations - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials
... The used in the present work method of study is based on the results of the topolog- ical theory of dynamical systems and can be applied for various types of asymptotically stability in the sense of Poisson. The idea of ...
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Multiple positive periodic solutions for a food limited two species Gilpin Ayala competition patch system with periodic harvesting terms
... harvesting-induced multiple positive periodic solutions for some population systems under the assumption of periodicity of the parameters by using Mawhin’s coincidence degree theory ...
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