Oscillation theorems for nonlinear second-order difference equations
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About: This article is published in Journal of Mathematical Analysis and Applications. The article was published on 01 Jan 1981. and is currently open access. The article focuses on the topics: Finite difference coefficient & Finite difference method.
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Citations
A second-order nonlinear difference equation: Oscillation and asymptotic behavior
John W. Hooker,William T. Patula +1 more
TL;DR: In this article, discrete analogues for well-known results on oscillation, growth, and asymptotic behavior of solutions of y″ + q(t) yγ = 0 were investigated.
122
Oscillation and nonoscillation theorems for second-order difference equations
TL;DR: In this article, the oscillatory and nonoscillatory behavior of the solutions of second-order difference equations is studied for the form A:x, = A,(AtIx) for k > 1.
54
Oscillation theorems and existence of positive monotone solutions for second order nonlinear difference equations
TL;DR: In this article, sufficient conditions for the oscillation of all solutions of the perturbed difference equation (D(a"n"-"1(@Dy"n")-"1)^@s) + F(n, y"n) = G(n and y, n, y, y)n), n >= 1, as well as for the existence of a positive monotone solution of the damped difference equation.
36
Oscillatory and asymptotic behavior in certain third order difference equations
TL;DR: In this article, the authors define l'existence de solutions oscillatoires en fonction du comportement des solutions non-oscillatoires and caracterise the existence of solutions oscillator.
On the Oscillatory Behaviour of Solutions of Second Order Nonlinear Difference Equations
Ethiraju Thandapani,S. Pandian +1 more
TL;DR: In this article, sufficient conditions are provided for the solution of a difference equation of the form (-Ay) + qa+if(y+i) = r (n € No; {a}, {q.I = 0.
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References
Properties of bounded solutions of nonlinear equations of second order.
Athanassios G. Kartsatos
- 01 May 1968
TL;DR: In this paper, the authors consider only solutions of (E) which are defined on some ray [c, + oo ), c _ 0 (depending on the particular solution), and their existence will be assumed without further mention.
Growth and Oscillation Properties of Second Order Linear Difference Equations
TL;DR: In this paper, the existence of recessive and dominant solutions for nonoscillatory and certain types of oscillatory second order homogeneous linear difference equations is established and growth properties concerning these solutions are established.