Results 201 to 210 of about 4,311,587 (239)
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On stability of nonlinear systems of ordinary differential equations
Applied Mathematics and Computation, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. M. A. El-Sheikh +2 more
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Nonlinear ordinary differential equations
1999Abstract 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
2018Why 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, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
François Dubeau +2 more
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Nonlinear Ordinary Differential Equations
2014Traditionally 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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An ordinary differential equation in nonlinear programming
Nonlinear Analysis: Theory, Methods & Applications, 1990It is proved that the initial value problem of an ordinary differential equation \(x'=P(x,g'(x)),\quad x(0)=x_ 0,\) arising in nonlinear programming, has a unique solution under certain assumptions.
Hassan, Nizar, Rzymowski, Witold
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Ordinary Differential Equations with Nonlinear Boundary Conditions
gmj, 2002Abstract 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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On some nonlinear ordinary differential equations with advanced arguments
Nonlinear Analysis: Theory, Methods & Applications, 2003The authors consider the following nonlinear differential equation with advanced argument \[ y'(t)= [y(\beta t)]^{1/\beta},\tag{1} \] with \(t\geq 0\) and \(\beta> 1\). By making use of the technique of lower and upper solutions, they classify the solutions of (1) (those that satisfy the initial condition \(y(0)= y_0\) and a certain growth condition ...
Antoni Augustynowicz +2 more
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On the asymptotic behavior of solutions to nonlinear ordinary differential equations
Asymptotic Analysis, 2007We discuss a number of issues important for the asymptotic integration of ordinary differential equations. After developing the tools required for application of the fixed point theory in the investigation, we present some general results about the long-time behavior of solutions of n-th order nonlinear differential equations with an emphasis on the ...
Agarwal, Ravi P. +4 more
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A method for solution of nonlinear ordinary differential equations
Ukrainian Mathematical Journal, 1995The author proposes a scheme for solving the problem \[ u''+2u'/x+\beta ^2u^\nu =0,\;u(0)=0, \quad u'(0)=0. \] After rather cumbersome manipulations he obtains the integral equation \[ u(x)=1+\lambda ^{-1}\int_{0}^{x}\Biggl[(c\lambda +\xi)\psi [a](\xi)-\varepsilon ^{-\mu }(c\xi)^{-1}\int_{0}^{\xi }\zeta ^2a(\zeta) d\zeta \Biggr]d\xi \] with \(a ...
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