Results 221 to 230 of about 14,001 (265)

On a nonlinear ordinary differential equation

Mathematical Notes, 1994
The authors consider the nonlinear boundary-value problem on the half- line (1) \(y''+ {N- 1\over x} y'= f(y)\), \(x> 0\), \(y'(0)= y(+\infty)= 0\), where \(f\) is a smooth function, \(f'(0)> 0\), \(N> 1\), and establish a theorem on the existence of solutions with any number of roots for the case when \(f(y)\) is an odd function which satisfies the ...
Zhidkov, P. E., Sakbaev, V. Zh.
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Global Optimization with Nonlinear Ordinary Differential Equations

Journal of Global Optimization, 2006
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Adam B. Singer, Paul I. Barton
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On a Nonlinear Second-Order Ordinary Differential Equation

Дифференциальные уравнения, 2023
We consider a nonlinear second-order ordinary differential equation of a special form whose particular case arises when constructing exact solutions of the nonlinear heat equation with a power-law coefficient. Conditions are obtained for the parameters under which the equation admits a single integration.
Kosov, A. A., Semenov, E. I.
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Nonlinear Ordinary Differential Equations

2007
Abstract This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back of the book.
D W Jordan, P Smith
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On factorization of nonlinear ordinary differential equations

Proceedings of the 1999 international symposium on Symbolic and algebraic computation, 1999
We give a decision procedure for existence of factorixations (tlec:ompositions int.0 lower order ODEs) of nonlinear orclinary differential cquat.ions y(“) = F(z: y(x), y’, . : y’“-“) for the general cast (,equations with arbitrary locally nieromorphic F). The prol)lcm of factorization for the CRSC of rational F is discussed.
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On stability of nonlinear systems of ordinary differential equations

Applied Mathematics and Computation, 2000
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M. M. A. El-Sheikh, A. A. Soliman, M. H. Abdalla   +2 more
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Nonlinear ordinary differential equations

1999
Abstract Nonlinear ordinary differential equations was first published in 1977 and has since become a standard text in the teaching of the subject. It takes a qualitative approach, and is designed for advanced undergraduate and graduate students of dynamical systems in mathematics or mathematics-related subjects.
D W Jordan, P Smith
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Nonlinear Ordinary Differential Equations

2018
Why should we be interested in nonlinear ODEs? The main reason is that many real-life systems are nonlinear in nature.
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Galerkin Methods for Nonlinear Ordinary Differential Equation with Impulses

Numerical Algorithms, 2003
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François Dubeau, Abdelatif Ouansafi, A. Sakat   +2 more
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Nonlinear Ordinary Differential Equations

2014
Traditionally all the macroscopic phenomena observed in nature have been studied via solutions of differential equations (DE) which are described by smooth and continuous curves. This approach works very well for a class of problem like the planetary motion where the orbits are regular geometric objects (namely, ellipse).
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