Results 1 to 10 of about 14,001 (265)

The Periodic Solutions to Kawahara Equation by Means of the Auxiliary Equation with a Sixth-Degree Nonlinear Term

Journal of Mathematics, 2013
It is well known that different types of exact solutions of an auxiliary equation produce new types of exact travelling wave solutions to nonlinear equations.
Zehra Pınar, Turgut Öziş
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On Nontrivial Solutions to Some Nonlinear Ordinary Differential Equations

Journal of Mathematical Analysis and Applications, 1995
Der Autor betrachtet die nichtlineare gewöhnliche Differentialgleichung \((m>0)\) \[ (u^{m+1})''+(x-1)u'= 0\quad\text{für ...
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Nonlinear Boundary Value Problems for Ordinary Differential Equations

Journal of Mathematical Analysis and Applications, 1994
A nonlinear vector boundary value problem of the form (1) \(y'= f(x,y)\), (2) \(B(y)= r\) is considered. Results are presented in which it is shown that solutions \(u(x)\) of (1), (2) can be differentiated with respect to the components of \(r\). These partial derivatives are then shown to be solutions of certain linear boundary value problems.
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Simplifying coefficients in a family of nonlinear ordinary differential equations

Acta et Commentationes Universitatis Tartuensis de Mathematica, 2019
By virtue of the Faá di Bruno formula, properties of the Stirling numbers and the Bell polynomials of the second kind, the binomial inversion formula, and other techniques in combinatorial analysis, the author finds a simple, meaningful, and signicant expression for coefficients in a family of nonlinear ordinary differential equations.
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Dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations

Alexandria Engineering Journal
In this paper, our main purpose is to study dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations in quantum mechanics.
Jie Luo, Jiangtao Guo, Yan Shao, Guangxu Zhao, Min Jiao   +4 more
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On a nonlinear ordinary differential equation [PDF]

Annales Polonici Mathematici, 1989
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A Comparison of Two-Stage Approaches for Fitting Nonlinear Ordinary Differential Equation Models with Mixed Effects. [PDF]

Multivariate Behav Res, 2016
Chow SM, Bendezú JJ, Cole PM, Ram N.
europepmc   +1 more source

Oscillation of solutions to nonlinear forced fractional differential equations

Electronic Journal of Differential Equations, 2013
In this article, we study the oscillation of solutions to a nonlinear forced fractional differential equation. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative.
Qinghua Feng, Fanwei Meng
doaj  

On Nonlinear Ordinary Differential Equations Containing a Parameter [PDF]

Indiana University Mathematics Journal, 1960
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Soliton solutions for the nonlinear Zoomeron equation applying the modified Khater method. [PDF]

Sci Rep
Saleem A, Abbas M, El-Rahman MA, Birhanu A, Yousaf MZ, Ahmad H.   +5 more
europepmc   +1 more source