Periodic solutions for nonlinear problems with strong resonance at infinity
Periodic solutions for quasilinear vector differential equations with maximal monotone terms
We consider a quasilinear vector differential equation with maximal monotone term and periodic boundary conditions. Approximating the maximal monotone operator with its Yosida approximation, we introduce an auxiliary problem which we solve using techniques from the theory of nonlinear monotone operators and the Leray-Schauder principle. To obtain a solution of the original problem we pass to the limit as the parameter λ > 0 of the Yosida approximation tends to zero.
Periodic solutions for second order differential systems with damping
Periodic solutions for second order Hamiltonian systems
By using the least action principle and minimax methods in critical point theory, some existence theorems for periodic solutions of second order Hamiltonian systems are obtained.
Periodic solutions for second order Hamiltonian systems on an arbitrary energy surface
Two theorems about the existence of periodic solutions with prescribed energy for second order Hamiltonian systems are obtained. One gives existence for almost all energies under very natural conditions. The other yields existence for all energies under a further condition.
Periodic solutions for second-order Hamiltonian systems with a p -Laplacian
In this paper, by using the least action principle, Sobolev's inequality and Wirtinger's inequality, some existence theorems are obtained for periodic solutions of second-order Hamiltonian systems with a p-Laplacian under subconvex condition, sublinear growth condition and linear growth condition. Our results generalize and improve those in the literature.
Periodic solutions for singular hamiltonian systems and closed geodesics on non-compact riemannian manifolds
Periodic solutions for some nonautonomous -Laplacian Hamiltonian systems
In this paper, we deal with the existence of periodic solutions of the -Laplacian Hamiltonian system Some new existence theorems are obtained by using the least action principle and minimax methods in critical point theory, and our results generalize and improve some existence theorems.
Periodic solutions for third order ordinary differential equations.
Periodic solutions for third order ordinary differential equations
In this paper, we introduce the concept of upper and lower solutions for third order periodic boundary value problems. We show that the monotone iterative technique is valid and obtain the extremal solutions as limits of monotone sequences. We first present a new maximum principle for ordinary differential inequalities of third order that is interesting by itself.
Periodic Solutions in a Mathematical Model for the Treatment of Chronic Myelogenous Leukemia
Existence and stability of periodic solutions are studied for a system of delay differential equations with two delays, with periodic coefficients. It models the evolution of hematopoietic stem cells and mature neutrophil cells in chronic myelogenous leukemia under a periodic treatment that acts only on mature cells. Existence of a guiding function leads to the proof of the existence of a strictly positive periodic solution by a theorem of Krasnoselskii....
Periodic solutions near an equilibrium of a differential equation with a first integral
Periodic solutions of a class of abstract nonlinear equations of the second order
Periodic solutions of a class of non-autonomous second-order differential inclusion systems.
Periodic solutions of a differential delay equation of Rayleigh type
Periodic solutions of a high order equation with deviating arguments.
Periodic solutions of a parametric nonlinear third-order differential equation
Periodic solutions of a resonant higher order equation.
Periodic solutions of abstract and partial differential equations with deviation
Periodic solutions of an abstract third-order differential equation
Using operator valued Fourier multipliers, we characterize maximal regularity for the abstract third-order differential equation αu'''(t) + u''(t) = βAu(t) + γBu'(t) + f(t) with boundary conditions u(0) = u(2π), u'(0) = u'(2π) and u''(0) = u''(2π), where A and B are closed linear operators defined on a Banach space X, α,β,γ ∈ ℝ₊, and f belongs to either periodic Lebesgue spaces, or periodic Besov spaces, or periodic Triebel-Lizorkin spaces.