[PDF] Top 20 On the two-point problem for implicit second-order ordinary differential equations
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On the two-point problem for implicit second-order ordinary differential equations
... To the best of our knowledge, there are not many existence results in the literature as regards problem (). Some of them [–] deal with the special case where n = and f (t, x, z, y) = y – g(t, x, z, y), where ... See full document
25
One-Step Implicit Hybrid Block Method for The Direct Solution of General Second Order Ordinary Differential Equations
... Generally, these hybrid methods are known to share with Runge-Kutta methods the advantage of easy change in step length and evaluating data at off step points. Although, hybrid methods were considered initially not to be ... See full document
5
Two step Runge Kutta Nyström method for solving second order ordinary differential equations
... Byrne and Lambert (1966) had studied on the special case of method (2.11) when 𝜃 = 0 and considered explicit TSRK with two-stage and three-stage methods of order three and four respectively. Meanwhile, van ... See full document
48
Maximal Order Block Method For The Solution Of Second Order Ordinary Differential Equations
... “One-step implicit hybrid block method for the direct solution of general second order ordinary differential equations,” IAENG International Journal of Applied Mathematics, ... See full document
7
Antiperiodic Boundary Value Problems for Second-Order Impulsive Ordinary Differential Equations
... differential equations, which arise in biology, physics, population dynamics, economics, and so forth, are a basic tool to study evolution processes that are subjected to abrupt in their states see ...and ... See full document
14
Existence and Uniqueness of Periodic Solution for Nonlinear Second-Order Ordinary Differential Equations
... for ordinary differential equations is a very important branch in the differential equation ...for second-order differential equations have been obtained by combining the classical method ... See full document
11
An optimal class of non-degenerate potentials for second-order ordinary differential equations
... the second author of this paper has used some Sobolev inequalities to char- acterize another important class of non-constant non-degenerate potentials for problem ()-() and its p-Laplacian ... See full document
17
A 4-Point Block Method for Solving Second Order Initial Value Problems in Ordinary Differential Equations
... of second order ordinary differential ...of ordinary differential equations were solved using the proposed method to test its ... See full document
6
Solution of Second Order Ordinary Differential Equations via Simulated Annealing
... century, differential equations (DEs) have been an important concept in many branches of ...science. Differential equations arise in physics, engineering, chemistry, biology, economics and a ... See full document
6
The distribution of nonprincipal eigenvalues of singular second order linear ordinary differential equations
... singular problem x + λq(t)x = 0 on an infinite interval [a, + ∞ ...eigenvalue problem on compact intervals, we can prove a Weyl-type expansion of the eigenvalue counting function, and we derive the ... See full document
7
Periodic boundary value problem for second order integro ordinary differential equations with general kernel and Carathéodory nonlinearities
... KEY WORDS AND PHRASES: Integro-Differential Equation, Upper and Lower Solutions, Carath6odory function 1991 AMS SUBJECT CLASSIFICATION CODES: /45J05 INTRODUCTION The purpose of this pape[r] ... See full document
8
Solution of Some Second Order Ordinary Differential Equations Using a Derived Algorithm
... nary differential equations which were based on the local representation of the theoretical solution to initial value problem of the form y ′ = f x y y a ( , ; ) ( ) = η ... See full document
14
Existence Results of Three-Point Boundary Value Problems for Second-order Ordinary Differential Equations
... The theory of upper and lower solutions is also a powerful tool in studying boundary value problems. For the existence results of two-point boundary value problem, there already are lots of ... See full document
18
Vol 3, No 3 (2012)
... of two ordinary differential equations describing a simple reaction in porous ...This problem is relatively simple, because, as shown by Damkohler [4] and Prater [5], the concentration ... See full document
12
Two Point Boundary Value Problems for a Class of Second Order Ordinary Differential Equations
... We study the general semilinear second-order ODE u gt, u, u 0 under different two- point boundary conditions. Using the method of upper and lower solutions, we obtain an existence result. ... See full document
14
A Numerical Solver for Second Order Stiff Ordinary Differential Equations
... In this paper, we aim to propose an alternative solver of order three using variable step size ap- proach for solving the second order stiff ODEs directly. The zero stability of this method is ... See full document
8
Implicit Two point Block Method with Third and Fourth Derivatives for Solving General Second Order ODEs
... eighth order implemented in a predictor-corrector mode in [18], the eighth order two-step block hybrid third derivative method with one off-step point in [19] and the ninth order four ... See full document
8
Criteria for System of Three Second Order Ordinary Differential Equations to Be Reduced to a Linear System via Restricted Class of Point Transformation
... of differential equations are in the form of nonlinear equations, which are very difficult to solve ...nonlinear ordinary diffe- rential equations, one of the solving methods is ... See full document
19
Two and Three point Implicit Second Derivative Block Methods for Solving First Order Ordinary Differential Equations
... the back values of each block. Ibrahim et al. (2008) developed the block method by adding a fixed coefficients block backward differentiation formules to solve first order ODEs. Ibrahim et al. (2011) also ... See full document
14
Quasi Exactly Solvable Differential Models: A Canonical Polynomials Approach
... (QES) second order ordinary differential ...QES problem, considered in this paper, can be stated as follows: Let p and n be two nonnegative integers, and suppose that { A x B x C ... See full document
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