[PDF] Top 20 Periodic solutions of second order differential equations with multiple delays
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Periodic solutions of second order differential equations with multiple delays
... Kaplan and Yorke proved that (1.3) has periodic solutions with the symmetric struc- ture (1.5), which give the Kaplan-Yorke type periodic solutions of (1.1) with period 4, i. e., x(t) ... See full document
12
Positive periodic solutions for second order differential equations with impulsive effects
... differential equations has been a significant development in the last two ...decades. Periodic solutions and periodic boundary value problems of impulsive differential equations have ... See full document
15
Existence of positive periodic solutions of second-order differential equations with weak singularities
... Recently, Torres [] showed how a weak singularity can play an important role if Schauder’s fixed point theorem is chosen in the proof of the existence of positive periodic solutions for (.). From now on, ... See full document
8
Existence of periodic solutions for differential equations with multiple delays under dichotomy condition
... bounded solutions of differential ...bounded solutions, periodic solutions and almost periodic solutions of both linear and nonlinear differential equations are obtained ... See full document
11
Positive solutions for nonlinear second order differential equations with singularities
... positive periodic solutions to second order differential equations with singular nonlinear ...positive solutions under reasonable ... See full document
14
Hopf bifurcation in a general n-neuron ring network with n time delays
... of periodic solutions are also important in many applica- ...local periodic solutions can arise from the different equilibrium points of ring networks by applying Hopf bifurcation technique, ... See full document
17
Multiple solutions for a class of perturbed second-order differential equations with impulses
... of solutions in these ...of periodic and homoclinic solutions for a class of second-order differential equations of the form () in the case μ = , via variational methods, the ... See full document
16
On the method of finding periodic solutions of second order neutral differential equations with piecewise constant arguments
... almost periodic differential equations. Such equations have diversified applica- tion in the field of biology, neural networks, physics, chemistry, engineering, and so on ...these equations have ... See full document
17
On the method of finding periodic solutions of second-order neutral differential equations with piecewise constant arguments
... P ro o f (i) Let x be a 4-periodic solution o f (1). Then x can be presented by (9), where (x (0 ),x (-2 ),x '(-2 )) is the solution o f (11). The linear system (11) is solvable if and only if D 2(p,q) = 0. Hence ... See full document
17
Existence of anti-periodic solutions for second-order ordinary differential equations involving the Fučík spectrum
... anti-periodic solutions of second-order ordinary differential ...cross multiple consecutive branches of the Fuˇcík spectrum curves, and recent results in the literature are complemented ... See full document
12
Periodic solutions of nonlinear second order difference equations
... of periodic solutions of nonlinear, second-order difference equations of the form y(t + 2) + by(t + 1) + cy(t) = f (y(t)), where c = 0 and f : R → R is ...even multiple of ... See full document
20
Existence of periodic solutions and homoclinic orbits for third order nonlinear differential equations
... of periodic solutions for the third-order differential equation ˙ x ¨ + ω 2 x ˙ = µF (x, x, ˙ x) ¨ is ...in order to reduce it to a second-order nonlinear differential ...of ... See full document
20
Almost Periodic Weak Solutions of Second Order Neutral Delay Differential Equations with Piecewise Constant Argument
... putting restriction on the function f. Papers 7, 8 concentrated on dealing with the existence and uniqueness of pseudo-almost-periodic solution by putting some restrictions on the roots of characteristic equation ... See full document
11
On Periodic Solutions of Higher-Order Functional Differential Equations
... a periodic boundary value problem for third-order linear differential equations,” Differentsial’nye Uravneniya, ...Differential Equations, ...“Periodic solutions of ... See full document
18
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 ... See full document
22
Periodic solutions for a class of second order delay differential systems
... differential equations, mathematical physics, and geometrical ...of solutions for Hamilton systems and Schrödinger equations have been studied extensively via critical point theory; see ... See full document
12
Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions
... 1 − H(β + γ) . (3.11) As a result, we obtain the desired bound. We see that the bound on all possible solutions to (3.4) is independent of λ. Applying Scheafer fixed point theorem, A has at least one fixed point, ... See full document
13
Multiple periodic solutions to a class of second order nonlinear mixed type functional differential equations
... of periodic solutions of functional di ff erential equations, one commonly uses methods of fixed point theory, coincidence degree theory, Fourier anal- ysis, and so ...tained multiple ... See full document
14
Multiple periodic solutions to a class of nonautonomous second-order delay differential equation
... In this paper, the main purpose is to study the multiplicity of periodic solutions for sys- tems (.) via some recent critical point theorems for strongly indefinite functionals. In order to achieve ... See full document
13
The existence of solutions of periodic BVP for second order impulsive differential equations
... differential equations serve as basic models to study the dy- namics of processes that are subject to sudden changes in their states, which are often investigated in various fields of science and technology ... See full document
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