[PDF] Top 20 Periodic Solutions of Some Polynomial Differential Systems in R44>

... There are many papers studying the periodic orbits of the fourth order diffe- rential systems and equations (see for instance [1]-[11]). But our main tool for studying the periodic orbits of the ... See full document

... system. Periodic solutions of the Hamiltonian systems are still obtained as critical points of a function ϕ over a Hilbert space ...obtain periodic solutions in this subspace, which ... See full document

... paper, some new existence theorems are obtained for multiple periodic solutions of second order Josephson-type differential systems with partially periodic potential by using the minimax ... See full document

... discrete systems has widely been used to study discrete mod- els appearing in many fields such as electrical circuit analysis, matrix theory, control theory, discrete variational theory, ...of differential ... See full document

... The rest of this paper is organized as follows. Section 2 presents the existence and uniqueness result of the system 1.1 together with the dependence of the positive periodic solution on the parameter λ. In ... See full document

... Variational methods are very powerful techniques in nonlinear analysis and are exten- sively used in many disciplines of pure and applied mathematics, including ordinary and partial differential equations, mathematical ... See full document

... approximate solutions of weakly nonlinear ...approximating periodic solutions of second order nonlinear differential systems was letter extended by Popov [4] to damped oscillatory ... See full document

... almost periodic and on ergodic ...uniqueness solutions of some difference equations using polynomial ...to some second order differential equation with a piecewise constant ... See full document

... neutral systems of various classes with time de- lays has received an ever-growing interest from many ...delay systems. We only mention the work of some authors ...of periodic solutions ... See full document

... order differential equations are often encountered in engineering and physical problems, and they have been studied for more than a hundred ...linear periodic equations, and it receives its name after the ... See full document

... of periodic solutions for ordinary p(t)-Laplacian system under the generalized Ambrosetti-Rabino- witz ...energy solutions and small energy solutions. When we impose some suitable ... See full document

... c  b  , which implies that [6] K. C. Chang, “On the Periodic Nonlinearity and the Mul- tiplicity of Solutions,” Nonlinear Analysis, Vol. 13, No. 5 1989, pp. 527-537. doi:10.1016/0362-546X(89)90062-X [7] ... See full document

... 3.3. Example 3: Cooling of a Lumped System by Combined Convection and Radiation Most scientific problems such as heat transfer are inherently nonlinear. We know that except for a limited number of problems, most of the ... See full document

... Inspired by the work of Li [5], we give sufficient conditions for the existence and uniqueness of the 2π -periodic solution of 1.1 by using the initial value problem method and homeomorphi[r] ... See full document

... semi-periodic solutions in the form of theorems, both in the discrete and in the continuous ...of periodic-type solutions were investi- gated (for their panorama, see []), as far as we know, ... See full document

... In the present paper, we obtain conditions of the existence of a solution of the equation Dx – μx = a for points of the spectrum of D. We define an analog of the resolvent oper- ator (= quasi-resolvent operator) for ... See full document

... Anti-periodic problems arise naturally from the mathematical models of various physical processes (see [, ]) and also appear in the study of partial differential equations and abstract differential equations (see ... See full document

... It was proved in [] that Eq. (.) (with γ ≥ ) has a positive T -periodic solution if and only if (.) holds. One open problem is whether we can obtain the sufficient and necessary conditions to guarantee the ... See full document

... consider some non-autonomous ordinary differential equations of order n and present some results and theorems on the existence of periodic solutions for them, which are sufficient ... See full document

... monic polynomial of degree n which is an eigenfunction of the operator L , for every non-negative integer n ...with polynomial coefficients and polynomial solutions, as well as cases missed by ... See full document