[PDF] Top 20 Existence and Uniqueness of Periodic Solution for Nonlinear Second-Order Ordinary Differential Equations
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Existence and Uniqueness of Periodic Solution for Nonlinear Second-Order Ordinary Differential Equations
... on periodic solutions for ordinary differential equations is a very important branch in the differential equation ...the existence of periodic solutions for second-order ... See full document
11
Existence and uniqueness of periodic solutions of second order nonlinear differential equations
... Proof From Lemma ., we have obtained that Eq. (.) has at most one T -periodic so- lution. Thus, to prove Theorem ., it suffices to show that Eq. (.) has at least one T -periodic solution. To do ... See full document
10
Ergodicity and asymptotically almost periodic solutions of some differential equations
... Abstract. Using ergodicity of functions, we prove the existence and uniqueness of (asymptotically) almost periodic solution for some nonlinear differential equations. As a ... See full document
14
Global existence and asymptotic behavior of solution of second order nonlinear impulsive differential equations
... It is easy to verify that UM ⊂ M, U is continuous and UM is compact. So, the Schauder- Tychonoff fixed point theorem implies that U has a fixed point y in M. This fixed point y(t) is a strongly decreasing solution of ... See full document
8
Existence and uniqueness of solution for a class of nonlinear fractional differential equations
... the boundary value condition becomes periodic boundary value condition. Therefore, the above two kinds of boundary value conditions are spacial cases of the irregular bound- ary value condition considered in BVP ... See full document
11
The Adomian Decomposition Method of Volterra Integral Equation of Second Kind
... and nonlinear Volterra integral equations of the second ...the second kind and the ordinary differential equation to integral equation we are going to solve the equation ...a ... See full document
7
Existence of anti-periodic solutions with symmetry for some high-order ordinary differential equations
... p-Laplacian equations are derived from many fields such as fluid mechanics and nonlinear elastic ...p-Laplacian equations with certain boundary condi- tions have been ... See full document
13
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 ...in order to reduce it to a second-order nonlinear ... See full document
20
Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions
... erential equations, which arise in physics, population dynamics, econom- ics, and so forth, are important mathematical tools for providing a better understanding of many real-world models, we refer to [1–5] and ... See full document
13
Existence and Uniqueness of Periodic Solutions for a Second Order Nonlinear Differential Equation with Piecewise Constant Argument
... In this note, existence and uniqueness criteria for periodic solutions of 1.3 will be established. For this purpose, we will make use of a continuation theorem of Mawhin. Let X and Y be two Banach ... See full document
14
Maximal Order Block Method For The Solution Of Second Order Ordinary Differential Equations
... approximate solution to second order ordinary differential ...maximal order for the direct solution of second order initial and boundary value ...in ... See full document
7
Existence and uniqueness of solution for class of fractional order differential equations on an unbounded domain
... given nonlinear continuous function and ℝ ≥ 0 has its usual meaning of nonnegative ...the solution for Equation (2) is exist and under some conditions on f (t, x) and on the range of function F, this ... See full document
8
The existence of solutions of periodic BVP for second order impulsive differential equations
... In this paper, we study the existence of solutions of periodic boundary value problems for impulsive differential equations depending on a parameter λ . By employing an existing critical point ... See full document
9
Recent Existence Results for Second-Order Singular Periodic Differential Equations
... recent existence results for second-order singular periodic differential ...A nonlinear alternative principle of Leray-Schauder type, a well-known fixed point theorem in cones, and ... See full document
20
On Existence of Periodic Solutions of Certain Second Order Nonlinear Ordinary Differential Equations via Phase Portrait Analysis
... of solution is studied in a sufficiently small neigh- borhood of a given solution, for example in a neighborhood of stationary point or of a periodic ... See full document
13
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 ... See full document
12
Existence of positive periodic solutions of second-order differential equations with weak singularities
... which was initially studied by Lazer and Solimini []. They proved that for λ ≥ (called a strong force condition in the terminology first introduced by Gordon [, ]), a necessary and sufficient condition for the ... See full document
8
Existence and Uniqueness of Solutions for the System of First-order Nonlinear Differential Equations with Three-point and Integral Boundary Conditions
... the existence and uniqueness of the solutions for the system of the non- linear first-order ordinary differential equations with three-point and integral boundary conditions are ... See full document
15
2. Existence of solution to a coupled system of hybrid fractional differential equations
... Fractional order differential equations are available in various disciplines of sci- ence and technology, we refer to [4, 6, 15, 19, 22, 25] for some of the ...These equations have solutions ... See full document
10
Existence the locally attractive solution for a second order nonlinear differential equation in banach space
... ( ) = ( ) ( ) , ∈ ℝ (5) If the operator and satisfy all the hypothesis of theorem (3), then the operator equation (5) has a solution on (0). Step I: Firstly we show that is Lipschitz on (0) Let ... See full document
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