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16,687
PERIODIC SOLUTION OF THE CAUCHY PROBLEM
, 2007
"... Abstract We derive necessary and sufficient conditions for the existence of a timeperiodic solution to the abstract Cauchy problem. ..."
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Abstract We derive necessary and sufficient conditions for the existence of a timeperiodic solution to the abstract Cauchy problem.
PERIODIC SOLUTIONS OF LAGRANGE EQUATIONS
, 2003
"... Nontrivial periodic solutions of Lagrange Equations are investigated. Sublinear and superlinear nonlinearity are included. Convexity assumptions are significiently relaxed. The method used is the duality developed by the authors. ..."
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Nontrivial periodic solutions of Lagrange Equations are investigated. Sublinear and superlinear nonlinearity are included. Convexity assumptions are significiently relaxed. The method used is the duality developed by the authors.
Symmetric Periodic Solutions of the
"... We consider the Manev potential in an anisotropic space, i.e., such that the force acts dierently in each direction. Using a generalization of the Poincare continuation method we study the existence of periodic solutions for weak anisotropy. In particular we nd that the symmetric periodic orbit ..."
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We consider the Manev potential in an anisotropic space, i.e., such that the force acts dierently in each direction. Using a generalization of the Poincare continuation method we study the existence of periodic solutions for weak anisotropy. In particular we nd that the symmetric periodic
Existence of periodic solutions . . .
, 1998
"... In this paper we study the existence of periodic solutions of a delay differential equation with delay depending indirectly on the state. A fixed point problem related to a Poincare operator is constructed and solved using an ejective fixed point theorem. ..."
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In this paper we study the existence of periodic solutions of a delay differential equation with delay depending indirectly on the state. A fixed point problem related to a Poincare operator is constructed and solved using an ejective fixed point theorem.
Bifurcation From Relative Periodic Solutions
 In preparation
, 1998
"... Relative periodic solutions are ubiquitous in dynamical systems with continuous symmetry. ..."
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Cited by 11 (8 self)
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Relative periodic solutions are ubiquitous in dynamical systems with continuous symmetry.
Periodic solutions in Hamiltonian systems . . .
, 2008
"... We investigate the existence, characteristic multipliers, and stability of periodic solutions to a Hamiltonian vector field which is a small perturbation of a vector field tangent to the fibers of a circle bundle. Our primary examples are the planar lunar and spatial lunar problems of celestial me ..."
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We investigate the existence, characteristic multipliers, and stability of periodic solutions to a Hamiltonian vector field which is a small perturbation of a vector field tangent to the fibers of a circle bundle. Our primary examples are the planar lunar and spatial lunar problems of celestial
Periodic Solutions and Slow Manifolds
"... After reviewing a number of results from geometric singular perturbation theory, we give an example of a theorem for periodic solutions in a slow manifold. This is illustrated by examples involving the van der Polequation and a modified logistic equation. Regarding nonhyperbolic transitions we disc ..."
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Cited by 2 (1 self)
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After reviewing a number of results from geometric singular perturbation theory, we give an example of a theorem for periodic solutions in a slow manifold. This is illustrated by examples involving the van der Polequation and a modified logistic equation. Regarding nonhyperbolic transitions we
Periodic solutions of discrete Volterra equations
, 2004
"... In this paper, we investigate periodic solutions of linear and nonlinear discrete Volterra equations of convolution or nonconvolution type with unbounded memory. For linear discrete Volterra equations of convolution type, we establish Fredholmâ€™s alternative theorem and for equations of nonconvolut ..."
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Cited by 7 (3 self)
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In this paper, we investigate periodic solutions of linear and nonlinear discrete Volterra equations of convolution or nonconvolution type with unbounded memory. For linear discrete Volterra equations of convolution type, we establish Fredholmâ€™s alternative theorem and for equations of non
Results 1  10
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16,687