Results 11 to 20 of about 218,183 (349)
Long-Time Asymptotics of Perturbed Finite-Gap Korteweg-de Vries Solutions [PDF]
, 2012 We apply the method of nonlinear steepest descent to compute the long-time asymptotics of solutions of the Korteweg--de Vries equation which are decaying perturbations of a quasi-periodic finite-gap background solution.
A. B. d. Monvel +37 more
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Oscillatory Solutions of Neutral Equations with Polynomial Nonlinearities [PDF]
International Journal of Differential Equations, 2011 Existence uniqueness of an oscillatory solution for nonlinear neutral equations by fixed point method is proved.
Angelov, Vasil G., Angelova, Dafinka Tz.
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On systems of differential equations with extrinsic oscillation [PDF]
, 2010 We present a numerical scheme for an efficient discretization of nonlinear systems of differential equations subjected to highly oscillatory perturbations.
Condon, Marissa +2 more
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Oscillatory Radial Solutions of Semilinear Elliptic Equations
Journal of Mathematical Analysis and Applications, 1997 We study the oscillatory behavior of radial solutions of the nonlinear partial differential equation Δu + f(u) + g(|x|, u) = 0 inRn, where f and g are continuous restoring functions, uf(u) > 0 and ug(|x|, u) > 0 for u ≠ 0. We assume that for fixedq limu → 0(|f(u)|/|u|q) = B > 0, for 1 < q < n/(n − 2), and, additionally, that 2F(u) ≥ (1 − 2/n)uf(u) when
Derrick, William R. +2 more
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Oscillatory Solutions to Neutral Delay Differential Equations [PDF]
Mathematics, 2021 This article aims to mark out new conditions for oscillation of the even-order Emden–Fowler neutral delay differential equations with neutral term β1ıΦα[ζr−1ı]′+β3ıΦα[ςξı]=0. The obtained results extend, and simplify known conditions in the literature. The results are illustrated with examples.
Fahad Alsharari +4 more
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Oscillations of differential equations generated by several deviating arguments
Advances in Difference Equations, 2017 Sufficient conditions, involving limsup and liminf, for the oscillation of all solutions of differential equations with several not necessarily monotone deviating arguments and nonnegative coefficients are established.
George E Chatzarakis, Tongxing Li
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Trigonometrically Fitted Improved Hybrid Method for Oscillatory Problems
Computer Sciences & Mathematics Forum, 2023 Presented in this paper is a trigonometrically fitted scheme based on a class of improved hybrid method for the numerical integration of oscillatory problems.
Yusuf Dauda Jikantoro +2 more
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MULTIPLE SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEMS WITH OSCILLATORY SOLUTIONS
Mathematical Modelling and Analysis, 2006 We consider two second order autonomous differential equations with critical points, which allow the detection of an exact number of solutions to the Dirichlet boundary value problem. Non‐autonomous equations with similar behaviour of solutions also are considered.
Ogorodnikova, S., Sadyrbaev, F.
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On the location of zeros of oscillatory solution [PDF]
Transactions of the American Mathematical Society, 1983 The location of zeros of solutions of second order singular differential equations is provided by a new asymptotic decomposition formula. The approximate location of zeros is provided with high accuracy error estimates in the neighbourhood of the point at infinity.
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Analytical and numerical stability analysis of Soret-driven convection in a horizontal porous layer [PDF]
, 2007 We present an analytical and numerical stability analysis of Soret-driven convection in a porous cavity saturated by a binary fluid. Both the mechanical equilibrium solution and the monocellular flow obtained for particular ranges of the physical ...
A. Mojtabi +7 more
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