Periodic solutions of certain third order differential systems with nonlinear dissipation
Periodic solutions of degenerate differential equations in vector-valued function spaces
Let A and M be closed linear operators defined on a complex Banach space X. Using operator-valued Fourier multiplier theorems, we obtain necessary and sufficient conditions for the existence and uniqueness of periodic solutions to the equation d/dt(Mu(t)) = Au(t) + f(t), in terms of either boundedness or R-boundedness of the modified resolvent operator determined by the equation. Our results are obtained in the scales of periodic Besov and periodic Lebesgue vector-valued spaces.
Periodic Solutions of Differential Equations in Banach Spaces.
Periodic solutions of differential equations in the cylindrical space
Periodic solutions of differential equations with a general piecewise constant argument and applications.
Periodic solutions of dissipative dynamical systems with singular potential and p-Laplacian
By using the topological degree theory and some analytic methods, we consider the periodic boundary value problem for the singular dissipative dynamical systems with p-Laplacian: , x(0) = x(T), x’(0) = x’(T). Sufficient conditions to guarantee the existence of solutions are obtained under no restriction on the damping forces d/dt gradF(x).
Periodic solutions of dissipative systems revisited.
Periodic solutions of evolution problem associated with moving convex sets
This paper is concerned with periodic solutions for perturbations of the sweeping process introduced by J.J. Moreau in 1971. The perturbed equation has the form where C is a T-periodic multifunction from [0,T] into the set of nonempty convex weakly compact subsets of a separable Hilbert space H, is the normal cone of C(t) at u(t), f:[0,T] × H∪H is a Carathéodory function and Du is the differential measure of the periodic BV solution u. Several existence results of periodic solutions for this...
Periodic solutions of fourth-order functional differential equations with -Laplacian
Periodic solutions of hamiltonian systems of 3-body type
Periodic solutions of higher order ordinary differential equations with one-sided growth restrictions on the nonlinear term
Periodic solutions of infinite dimensional Riccati Equations
Si da un risultato di esistenza di soluzioni periodiche per una equazione di Riccati in dimensione infinita.
Periodic solutions of Liénard equations
Periodic solutions of linear differential equations with measures as coefficients
Periodic solutions of multispecies-competition predator-prey system with Holling's type III functional response and prey supplement.
Periodic solutions of neutral Duffing equations.
Periodic solutions of non-autonomous second order systems with -Laplacian.
Periodic solutions of nonlinear abstract second order equations with dissipative terms
Periodic solutions of nonlinear differential systems by the method of averaging
In many engineering problems, when studying the existence of periodic solutions to a nonlinear system with a small parameter via the local averaging theorem, it is necessary to verify some properties of the fundamental solution matrix to the corresponding linearized system along the periodic solution of the unperturbed system. But sometimes, it is difficult or it requires a lot of calculations. In this paper, a few simple and effective methods are introduced to investigate the existence of periodic...
Periodic solutions of nonlinear second-order differential equations with parameter
This paper establishes effective sufficient conditions for existence and uniqueness of periodic solutions of a one-parameter differential equation vanishing at an arbitrary but fixed point.