Results 81 to 90 of about 4,377 (209)
Oscillation and nonoscillation theorems for some mixed difference equations
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper we investigate the oscillatory and nonoscillatory behavior of solutions of certain mixed third and fourth order difference equations. Specific results are also obtained for the constant coefficient cases.
B. Smith, W. E. Taylor
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ULTRA-SHARP nonoscillatory convection schemes for high-speed steady multidimensional flow [PDF]
For convection-dominated flows, classical second-order methods are notoriously oscillatory and often unstable. For this reason, many computational fluid dynamicists have adopted various forms of (inherently stable) first-order upwinding over the past few
Leonard, B. P., Mokhtari, Simin
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Essentially nonoscillatory postprocessing filtering methods [PDF]
High order accurate centered flux approximations used in the computation of numerical solutions to nonlinear partial differential equations produce large oscillations in regions of sharp transitions.
Lafon, F., Osher, S.
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Asymptotic solutions of forced nonlinear second order differential equations and their extensions
, 2007 Using a modified version of Schauder's fixed point theorem, measures of non-compactness and classical techniques, we provide new general results on the asymptotic behavior and the non-oscillation of second order scalar nonlinear differential equations on
Mingarelli, Angelo B. +1 more
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NONOSCILLATORY SOLUTIONS FOR NONLINEAR DISCRETE SYSTEMS
, 2002 We investigate some asymptotic properties of a nonlinear forced difference system In particular we give necessary and sufficient conditions for existence of the so-called regularly decaying solutions and thereby we complete the results presented in ["New Progress in Difference Equations'', 2004 , pp.493-500, CRC Press, Boca Raton].
MARINI, MAURO, MATUCCI, SERENA, P. REHAK
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Oscillatory and nonoscillatory solutions of multivalued differential inclusions
Computers & Mathematics with Applications, 2005 The paper concerns the existence of Carathéodory solutions to the ``scalar'' differential inclusion \(y'(t)\in F(t,y(t))\) subject to the constraints \(\alpha(t)\leq y(t)\leq\beta(t)\) (if \(\alpha\) and \(\beta\) are oscillatory functions, then so is \(y\)). The hypotheses must be added that \(\alpha\) and \(\beta\) are absolutely continuous (for the `
Benchohra, M., Graef, J.R., Ouahab, A.
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Solvability of a Higher-Order Nonlinear Neutral Delay Difference Equation
Advances in Difference Equations, 2010 The existence of bounded nonoscillatory solutions of a higher-order nonlinear neutral delay difference equation , , where , , , and are integers, and are real sequences, , and is a mapping, is studied. Some sufficient conditions for the existence of
Liu Min, Guo Zhenyu
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Qualitative properties of solutions of certain fourth order linear differential equations
International Journal of Mathematics and Mathematical Sciences, 1981 This work considers differential equations of the form (py″)′′+qy″+ry=0 where p,q and r are positive continuous functions defined on [0,∞). The main concentration is on the oscillatory and asymptotic behavior of the solutions.
W. E. Taylor
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, 2014 We observe that solutions of a large class of highly oscillatory second order linear ordinary differential equations can be approximated using nonoscillatory phase functions.
Bremer, James +2 more
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Families of Bragg-grating solitons in a cubic-quintic medium
, 2001 We investigate the existence and stability of solitons in an optical waveguide equipped with a Bragg grating (BG) in which nonlinearity contains both cubic and quintic terms. The model has straightforward realizations in both temporal and spatial domains,
Aceves +22 more
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