Results 121 to 130 of about 15,655 (167)

Global Optimization with Nonlinear Ordinary Differential Equations

Journal of Global Optimization, 2006
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Singer, Adam B., Barton, Paul I.
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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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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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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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Ordinary Differential Equations with Nonlinear Boundary Conditions

gmj, 2002
Abstract The method of lower and upper solutions combined with the monotone iterative technique is used for ordinary differential equations with nonlinear boundary conditions. Some existence results are formulated for such problems.
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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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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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Stability Criteria for Nonlinear Ordinary Differential Equations

Journal of the Society for Industrial and Applied Mathematics Series A Control, 1963
The main results of this work are three sufficient conditions for the (1) stability, (2) uniform asymptotic stability in the large and (3) instability, of the equilibrium point $x = 0$ of the system of differential equations: $\dot x = f(t,x)$, $f(t,0) = 0$. Stated roughly these conditions are: The point $x = 0$ is (1) stable if $x'f(t,x)$ is a concave
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Nonlinear Initial Value Ordinary Differential Equations

2014
Ordinary frequently occur as mathematical models in many fields of science, engineering, differential equations (ODEs) and economy. It is rarely that ODEs have closed form analytical solutions, so it is common to seek approximate solutions by means of numerical methods.
Mohammad M. Aghdam, Ali Fallah, Poorya Haghi   +2 more
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Qualitative properties of nonlinear ordinary differential equations

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1977
SynopsisThe perturbed linear ordinary differential equationis considered. Adopting the same approach of Massera and Schäffer [6], Corduneanu states in [2] the existence of a set of solutions of (1) contained in a given Banach space. In this paper we investigate some topological aspects of the set and analyze some of the implications from a point of ...
Onuchic, Nelson, Taboas, Placido Z.
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