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NONOSCILLATORY SOLUTIONS FOR EMDEN-FOWLER TYPE DIFFERENCE EQUATIONS
Difference Equations, Special Functions and Orthogonal Polynomials, 2007Using certain summation inequalities, the coexistence of various types of nonoscillatory solutions for an Emden-Fowler type difference equation is investigated. Discrepancies between discrete and continuous cases are pointed out as well.
CECCHI, MARIELLA +3 more
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Nonoscillatory bounded solutions of neutral differential systems
Nonlinear Analysis: Theory, Methods & Applications, 2008The authors investigate the existence of a nonoscillatory bounded solution to a nonlinear neutral differential system.
Hanuštiaková, Ľubica, Olach, Rudolf
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Mathematical Modelling and Control
In this paper, the existence of nonoscillatory solutions for a class of higher-order nonlinear differential equations is investigated. Notably, the equations are of mixed neutral type with a forcing term, which distinguished the equations in this paper ...
Hui Li, Nana Jin, Yu Zhang
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In this paper, the existence of nonoscillatory solutions for a class of higher-order nonlinear differential equations is investigated. Notably, the equations are of mixed neutral type with a forcing term, which distinguished the equations in this paper ...
Hui Li, Nana Jin, Yu Zhang
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Uniformly High-Order Accurate Nonoscillatory Schemes. I
, 1987We begin the construction and the analysis of nonoscillatory shock capturing methods for the approximation of hyperbolic conservation laws. These schemes share many desirable properties with total variation diminishing schemes, but TVD schemes have at ...
A. Harten, S. Osher
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Essentially nonoscillatory Euler solutions on unstructured meshes using extrapolation
AIAA Journal, 1998An extension of the essentially nonoscillatory formulation via extrapolation on unstructured meshes to systems of conservation laws is presented. Higher-order accuracy is obtained using a piecewise polynomial reconstruction of the solution from its cell averages.
D. Stanescu, W. G. Habashi
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Nonoscillatory solutions of forced second order linear equations. - II
Annali di Matematica Pura ed Applicata, 1980The number of nonoscillatory solutions of a forced second order linear differential equation is studied under the hypothesis that the homogeneous equation is oscillatory. The main technique involves expressing a general solution of the forced equation in terms of two parameters, given a pair of independent solutions of the homogeneous equation (see (2 ...
Atkinson, F. V. +2 more
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On Existence of Nonoscillatory Solutions to Quasilinear Differential Equations
gmj, 2007Abstract Sufficient conditions are established for the existence of nonoscillatory solutions to a quasilinear ordinary differential equation of higher order. For the equation with a positive potential, a criterion is established for the existence of nonoscillatory solutions with nonzero limit at infinity.
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Nonoscillatory solutions of second order nonlinear difference equations
Applied Mathematics and Computation, 2008A class of second order nonlinear difference equations with positive coefficients is considered. Sufficient conditions are given for the existence of nonoscillatory solutions.
Chen, Shuming, Li, Chenshun
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Solutions with prescribed numbers of focal points of nonoscillatory linear Hamiltonian systems
Monatshefte für Mathematik (Print), 2022Peter Šepitka, Roman Šimon Hilscher
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Asymptotic behavior of nonoscillatory solutions of half-linear ordinary differential equations
Archiv der Mathematik, 2021Manabu Naito
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