Results 51 to 60 of about 290,072 (190)

Polynomial nonlinearities in differential equations

Journal of Mathematical Analysis and Applications, 1985
The first author and his collaborators have found solutions for nonlinear stochastic (or deterministic in the limiting case) differential equations involving polynomial nonlinearities. Using the first author's \(A_ n\) polynomials and recently developed methods of calculating these polynomials, it becomes very easy to write solutions for nonlinear ...
Adomian, G, Rach, R
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Double-Scale Expansions for a Logarithmic Type Solution to a q-Analog of a Singular Initial Value Problem

Abstract and Applied Analysis
We examine a linear q−difference differential equation, which is singular in complex time t at the origin. Its coefficients are polynomial in time and bounded holomorphic on horizontal strips in one complex space variable.
Stéphane Malek
doaj   +1 more source

Universal shocks in the Wishart random-matrix ensemble - a sequel

, 2013
We study the diffusion of complex Wishart matrices and derive a partial differential equation governing the behavior of the associated averaged characteristic polynomial.
Blaizot, Jean-Paul, Nowak, Maciej A., Warchoł, Piotr   +2 more
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Sobolev orthogonal polynomials and spectral differential equations [PDF]

Transactions of the American Mathematical Society, 1995
We find necessary and sufficient conditions for a spectral differential equation \[ L N [ y ] ( x ) = ∑ i = 1 N ℓ i
JUNG, IH, KWON, KH Kwon, Kil Hyun, LEE, DW, LITTLEJOHN, LL   +3 more
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Numerical Solution of Fractional Volterra-Fredholm Integro-Differential Equation Using Lagrange Polynomials

مجلة بغداد للعلوم, 2020
In this study, a new technique is considered for solving linear fractional Volterra-Fredholm integro-differential equations (LFVFIDE's) with fractional derivative qualified in the Caputo sense.
Nour Salman, Muna Mansour Mustfaf
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Four Steps Implicit Method for the Solution of General Second Order Ordinary Differential Equations [PDF]

, 2009
Four steps implicit scheme for the solution of second order ordinary differential equation was derived through interpolation and collocation method. Newton polynomial approximation method was used to generate the unknown parameters in the corrector ...
Adesanya, A.O., Anake, T. A., Oghonyon, J. G., Osilagun, J.A.   +3 more
core  

New multidimensional partially integrable generalization of S-integrable N-wave equation

, 2007
This paper develops a modification of the dressing method based on the inhomogeneous linear integral equation with integral operator having nonempty kernel.
A. I. Zenchuk, Beals R., Zakharov V. E., Zakharov V. E., Zakharov V. E., Zenchuk A. I.   +5 more
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Polynomial Systems from Certain Differential Equations

Journal of Symbolic Computation, 1999
For the well-known Kukles system: \[ \dot x= y,\quad\dot y= -x+ a_{20}x^2+ a_{11}xy+ a_{02}y^2+ a_{30}x^3+ a_{21}x^2y+ a_{12}xy^2+ a_{03}y^3,\tag{1} \] \textit{I. S. Kukles} [Trudy tret'ego vsesojuzn. mat. S''ezda, Moskva, Ijuń-Ijul' 1956, 3, 81-91 (1958; Zbl 0089.06302)], \textit{L. A. Cherkas} [Differ. Equations 14, 1133-1138 (1978; Zbl 0423.34042)],
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Relationships between Darboux Integrability and Limit Cycles for a Class of Able Equations [PDF]

Journal of Sciences, Islamic Republic of Iran, 2006
We consider the class of polynomial differential equation x&= , 2(,)(,)(,)nnmnmPxyPxyPxy++++2(,)(,)(,)nnmnmyQxyQxyQxy++&=++. For where and are homogeneous polynomials of degree i.
doaj  

Oscillator with a Sum of Noninteger-Order Nonlinearities

Journal of Applied Mathematics, 2012
Free and self-excited vibrations of conservative oscillators with polynomial nonlinearity are considered. Mathematical model of the system is a second-order differential equation with a nonlinearity of polynomial type, whose terms are of integer and/or ...
L. Cveticanin, T. Pogány
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