Results 21 to 30 of about 437 (174)

Effect of nonlinear perturbations on second order linear nonoscillatory differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2010
The aim of this paper is to show that any second order nonoscillatory linear differential equation can be converted into an oscillating system by applying a sufficiently large nonlinear perturbation.
Akihito Shibuya, T. Tanigawa
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Existence of Nonoscillatory Solutions for System of Higher-Order Neutral Differential Equations with Distributed Deviating Arguments

Discrete Dynamics in Nature and Society, 2013
In this paper, we consider the existence of nonoscillatory solutions for system of variable coefficients higher-order neutral differential equations with distributed deviating arguments.
Youjun Liu, Jianwen Zhang, Jurang Yan
doaj   +1 more source

Nonexistence of Unbounded Nonoscillatory Solutions of Partial Difference Equations

Journal of Mathematical Analysis and Applications, 1997
The authors develop criteria for the nonexistence of eventually positive (negative) and nondecreasing (nonincreasing) solutions of the partial difference equation \[ \nabla_m \nabla_n y(m,n)+ P\bigl(m,n,y (m+k, n+l)\bigr) =Q \bigl(m,n, y(m+k,n-l) \bigr) \] and \[ \nabla_m \nabla_n y(m,n)+ \sum^\tau_{i=1} P_i\bigl(m,n,y (m+k_i, n+l_i)\bigr)= \sum^\tau_ ...
Wong, P.J.Y., Agarwal, R.P.
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Nonoscillatory half-linear difference equations and recessive solutions

Advances in Difference Equations, 2005
Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, we prove that recessive solutions are the ...
Došlá Zuzana, Cecchi Mariella, Marini Mauro   +2 more
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On Some Conjectures on the Nonoscillatory Solutions of Neutral Differential Equations

Journal of Mathematical Analysis and Applications, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bainov, D., Petrov, V.
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Existence of Nonoscillatory Solutions of First‐Order Neutral Differential Equations [PDF]

Abstract and Applied Analysis, 2011
This paper contains some sufficient conditions for the existence of positive solutions which are bounded below and above by positive functions for the first‐order nonlinear neutral differential equations.
Dorociaková, Božena, Najmanová, Anna, Olach, Rudolf   +2 more
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Comparison theorems for fourth order differential equations

International Journal of Mathematics and Mathematical Sciences, 1986
This paper establishes an apparently overlooked relationship between the pair of fourth order linear equations yiv−p(x)y=0 and yiv+p(x)y=0, where p is a positive, continuous function defined on [0,∞).
Garret J. Etgen, Willie E. Taylor
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WENO schemes for multidimensional nonlinear degenerate parabolic PDEs [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2018
In this paper, a scheme is presented for approximating solutions of non linear degenerate parabolic equations which may contain discontinuous solutions.
R. Abedian
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Trench's Perturbation Theorem for Dynamic Equations

Discrete Dynamics in Nature and Society, 2007
We consider a nonoscillatory second-order linear dynamic equation on a time scale together with a linear perturbation of this equation and give conditions on the perturbation that guarantee that the perturbed equation is also nonoscillatory and has ...
Martin Bohner, Stevo Stevic
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Existence of nonoscillatory solutions for fractional neutral differential equations

Applied Mathematics Letters, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong Zhou 0005, Bashir Ahmad 0003, Ahmed Alsaedi   +2 more
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