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[PDF] Top 20 ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS

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ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS

ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS

... the solutions of the system can be extended in the future, then for any values of ω, there exists sufficiently small μ such that the above sufficient conditions ...the solutions of the above vector system ... See full document

8

Existence of periodic solutions for differential equations with multiple delays under dichotomy condition

Existence of periodic solutions for differential equations with multiple delays under dichotomy condition

... the existence and uniqueness of bounded solutions, periodic solutions and almost periodic solutions of both linear and nonlinear differential equations are ob- ... See full document

11

Existence of periodic solutions for a type of linear difference equations with distributed delay

Existence of periodic solutions for a type of linear difference equations with distributed delay

... The same problem has been investigated for linear impulsive delay differential equa- tions [3,4]. The discrete analog of the above mentioned result has been recently stu- died in [5]. We suggest the reader ... See full document

14

The existence of affine-periodic solutions for nonlinear impulsive differential equations

The existence of affine-periodic solutions for nonlinear impulsive differential equations

... affine-periodic solutions problem to the boundary value problem in ...the existence of affine-periodic solutions for nonlinear impulsive system when det(I – Q) = 0 in ... See full document

13

Existence and uniqueness of periodic solutions of second order nonlinear differential equations

Existence and uniqueness of periodic solutions of second order nonlinear differential equations

... odic solutions of nonlinear high-order differential ...the existence of T -periodic solutions for the fol- lowing fourth-order nonlinear differential ... See full document

10

Existence of anti-periodic solutions for second-order ordinary differential equations involving the Fučík spectrum

Existence of anti-periodic solutions for second-order ordinary differential equations involving the Fučík spectrum

... Leray-Schauder degree theory and the Borsuk theorem to establish new results on the existence of anti-periodic solutions of second-order ordinary differential equations. Our nonlinearity may ... See full document

12

Existence and stability of almost periodic solutions for impulsive differential equations

Existence and stability of almost periodic solutions for impulsive differential equations

... To the best of authors ’ knowledge, most of the previous research on existence of almost periodic solutions for impulsive differential equations was based on Contraction mapping ... See full document

14

On Existence of Periodic Solutions of Certain Second Order Nonlinear Ordinary Differential Equations via Phase Portrait Analysis

On Existence of Periodic Solutions of Certain Second Order Nonlinear Ordinary Differential Equations via Phase Portrait Analysis

... as existence of periodic solutions of nonlinear ordinary differen- tial ...ordinary differential equations, with- out the possibility of solving them analytically, and obtaining ... See full document

13

Existence of positive periodic solutions for nonlinear neutral dynamic equations with variable delay on a time scale

Existence of positive periodic solutions for nonlinear neutral dynamic equations with variable delay on a time scale

... The organization of this paper is as follows. In Section 2, we present some preliminary material that we will need through the remainder of the paper. We will state some facts about the exponential function on a time ... See full document

8

The Existence of Periodic Solutions for Non Autonomous Differential Delay Equations via Minimax Methods

The Existence of Periodic Solutions for Non Autonomous Differential Delay Equations via Minimax Methods

... When 1.2 satisfies 1.3, we can apply the twist condition between the zero and at infinity for f to establish the existence of periodic solutions of 1.2. Under the superlinear conditions 1.5, there is ... See full document

15

Existence of positive periodic solutions of second-order differential equations with weak singularities

Existence of positive periodic solutions of second-order differential equations with weak singularities

... the existence of periodic solutions in the presence of a weak singularity is much more recent and the number of references is considerably ...first existence result with a weak force condition ... See full document

8

Existence of periodic solutions and homoclinic orbits for
third order nonlinear differential equations

Existence of periodic solutions and homoclinic orbits for third order nonlinear differential equations

... The existence of periodic solutions for the third-order differential equation ˙ x ¨ + ω 2 x ˙ = µF (x, x, ˙ x) ¨ is ...the existence of periodic solutions for the second-order ... See full document

20

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

... Zhicheng; Periodic solutions of linear neutral integrodifferential equa- tions, Thoku Math.[r] ... See full document

10

Periodic and Nonnegative Periodic Solutions of Nonlinear Neutral Dynamic Equations on a Time Scale

Periodic and Nonnegative Periodic Solutions of Nonlinear Neutral Dynamic Equations on a Time Scale

... Throughout this paper we assume that a and τ are positive rd-continuous functions, id − τ : T → T is increasing so that the function x (t − τ (t)) is well defined over T . The function h is continuous, Q and G satisfying ... See full document

16

Exponential Dichotomy and Eberlein Weak Almost Periodic Solutions

Exponential Dichotomy and Eberlein Weak Almost Periodic Solutions

... the existence of almost periodic solu- tions has been extensively studies in the literature ...almost periodic functions are more gen- eral than almost periodic functions and they were intro- ... See full document

7

On positive periodic solutions of second order singular equations

On positive periodic solutions of second order singular equations

... the existence of nontrivial periodic solutions of ...lower solutions [2, 10, 15], fixed point theorems [6, 7, 17–19], alternative principle of Leray–Schauder [4, 11], or topological degree ... See full document

10

Periodic solutions of nonlinear differential equations

Periodic solutions of nonlinear differential equations

... 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

5

Positive solutions for nonlinear second order differential equations with singularities

Positive solutions for nonlinear second order differential equations with singularities

... In this paper, we establish the existence of positive periodic solutions to Eq.(1) through a basic application of nonlinear alternative principle of Leray-Schauder, generalizing in several aspects ... See full document

14

The existence of solutions of periodic BVP for second order impulsive differential equations

The existence of solutions of periodic BVP for second order impulsive differential equations

... The rest of this paper is organized as follows. In Section  we present several defini- tions and main tools. In Section , under suitable hypotheses, we prove that problem (.) possesses at least one non-zero ... See full document

9

Existence of entire solutions of some non linear differential difference equations

Existence of entire solutions of some non linear differential difference equations

... Case , m = n ≥ . If m = n = , note that P(z) and Q(z) are non-constant polynomials, by Theorem D, we see that (.) has no transcendental entire solutions of finite order. If m = n ≥ , rewriting (.) as ... See full document

17

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