[PDF] Top 20 On nonautonomous second order differential equations on Banach space
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On nonautonomous second order differential equations on Banach space
... tonomous second-order equation: u (t) = A(t)u (t)+B(t)u(t)+f (t), 0 ≤ t ≤T ; u(0) =x 0 , u (0) = x 1 on a Banach space by means of operator matrix method and apply to Volterra ... See full document
10
Positive solutions for Neumann boundary value problems of nonlinear second order integro differential equations in ordered Banach spaces
... nonlinear second-order integro-differen- tial equations. These order conditions are a natural extension of the inequality conditions (P 1 )** and (P 2 )** in ordered Banach ... See full document
11
THE EXISTENCE OF POSITIVE SOLUTIONS OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATION WITH BOUNDER VALUE PROBLEM IN THE BANACH SPACE
... of second order ordinary differential equation in Banach space ...for second order ordinary differential equation has been ... See full document
9
Multiple periodic solutions to a class of nonautonomous second-order delay differential equation
... It is well known that the critical point theory is a powerful tool to deal with the multiplicity of periodic solutions to ordinary differential systems as well as partial differential equa- tions (see [–]). In , Li ... See full document
13
Multiple positive solutions of boundary value problems for fractional order integro-differential equations in a Banach space
... Fractional differential equations (FDEs) have been of great interest for the last three decades [–]. It is caused both by the intensive development of the theory of fractional calculus itself and by the ... See full document
18
Convergence for Hyperbolic Singular Perturbation of Integrodifferential Equations
... of second order integrodifferential equations,” in Volterra Integrodifferential Equations in Banach Spaces and Applications (Trento, 1987), ... See full document
11
Positive Solutions for Impulsive Equations of Third Order in Banach Space
... Inspired by the above work, the aim of this paper is to establish some simple criteria for the existence of nontrivial solutions for BVP 1.1 under some weaker conditions. The new features of this paper mainly include the ... See full document
14
Multiple positive solutions for first-order impulsive singular integro-differential equations on the half line in a Banach space
... integro-differential equations on the half line in a Banach space by means of the fixed-point theorem of cone expansion and compression with norm ... See full document
24
Numerical method and convergence order for second order impulsive differential equations
... This paper is devoted to the numerical scheme for the impulsive differential equations. The main idea of this method is, for the first time, to establish a broken reproducing kernel space that can be used in ... See full document
14
Solvability of second order linear differential equations in the sequence space \(n(\phi)\)
... A measure of noncompactness is a nonnegative real-valued map defined on a collection of bounded subsets of a normed (metric) space which maps the class of relatively compact sets (known as kernel) to zero, while ... See full document
8
On the Ulam stability of a class of Banach space valued linear differential equations of second order
... on the theory of ordinary differential equations, we see that x = m sinh(t) is a solution on J = (– ∞ , + ∞ ), where t ∈ J corresponds to ω(t) ∈ I. Therefore, one can see that x = m sinh(t) is an appropriate ... See full document
9
Existence the locally attractive solution for a second order nonlinear differential equation in banach space
... 7. Mohammed I. Abbas, On the Existence of locally attractive solution of a nonlinear quadratic voltera integral equation of fractional order, Hindawi Publishing Corporation Advances in difference equations, ... See full document
6
Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations
... A function u is a solution of problem 1.1, 1.2 on 0, η if and only if it is a fixed point of the operator F. Using the Lipschitz property of f we can prove that the operator is contractive for each sufficiently small η and ... See full document
21
Stability of the second order partial differential equations
... of differential equation y’ = y was first investigated by Alsina and Ger ...the Banach space-valued differential equation y’ = ...linear differential equation of the first ... See full document
10
Approximate perfect differential equations of second order
... 2. Hyers, DH: On the stability of the linear functional equation. Proc. Natl. Acad. Sci. USA 27, 222-224 (1941) 3. Rassias, TM: On the stability of linear mapping in Banach spaces. Proc. Am. Math. Soc. 72, 297-300 ... See full document
5
Maximal Order Block Method For The Solution Of Second Order Ordinary Differential Equations
... birth second order ordinary equations either as initial or boundary value problems when it comes to modelling real life ...these second order ordinary differential ... See full document
7
NUMERICAL SOLUTION OF THE INTERRELATED DIFFERENTIAL EQUATION OF MOTION IN PHONON ENGINEERING
... In physics and electronics, the quantized energies of elastic vibration in a crystal are called phonons. Similar to electrons, phonons are characterized by their dispersion ω(q), where ω is an angular frequency, and q is ... See full document
7
A Numerical Solver for Second Order Stiff Ordinary Differential Equations
... [1] Ra’ft Abdelrahim and Zurni Omar. Derivation of a single-step hybrid block method with generalized two off-step points for solving second order ordinary differential equation directly. Interna- ... See full document
8
On Connection between Second Order Delay Differential Equations and Integrodifferential Equations with Delay
... of second-order functional dynamic equations on time scales,” Advances in Difference Equations, ...sublinear second-order discrete boundary value problems,” Advances in Difference ... See full document
8
Differential Transform Technique for Second Order Differential Equations: A Comparative Approach
... H., Differential transform technique for solving higher order initial value ...of differential equations by differential transform ... See full document
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