Results 31 to 40 of about 684 (97)
Comparison results and linearized oscillations for higher‐order difference equations
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 1, Page 129-142, 1992., 1990 Consider the difference equations and We establish a comparison result according to which, when m is odd, every solution of Eq.(1) oscillates provided that every solution of Eq.(2) oscillates and, when m is even, every bounded solution of Eq.(1) oscillates provided that every bounded solution of Eq.(2) oscillates.
G. Ladas, C. Qian
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Oscillation and nonoscillation theorems for some mixed difference equations
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 3, Page 537-541, 1992., 1990 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 Jr.
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Advances in Differential Equations, 2014 In this paper, we will use the Krasnosel’skii fixed point theorem to investigate a discrete fractional boundary value problem of the form −Δνy(t)=λh(t+ν−1)f(y(t+ν−1)), y(ν−2)=Ψ(y), y(ν+b)=Φ(y), where ...
Shugui Kang, Yan Li, Huiqin Chen
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On unbounded oscillation of fourth order functional difference equations
, 2020 In this work, an illustrative discussion have been made on unbounded oscillation properties of a class of fourth order neutral functional difference equations of the form: Δ2(r(n)Δ2(y(n)+ p(n)y(n− τ)))+g(n)G(y(n−σ))−h(n)H(y(n−α)) = 0 under the ...
A. Tripathy
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Continuous dependence and differentiation of solutions of finite difference equations
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 4, Page 747-756, 1991., 1991 Conditions are given for the continuity and differentiability of solutions of initial value problems and boundary value problems for the nth order finite difference equation, u(m + n) = f(m, u(m), u(m + 1), …, u(m + n − 1)), m ∈ ℤ.
Johnny Henderson, Linda Lee
wiley +1 more source
Bounded solutions of self-adjoint second order linear difference equations with periodic coeffients
Open Mathematics, 2018 In this work we obtain easy characterizations for the boundedness of the solutions of the discrete, self–adjoint, second order and linear unidimensional equations with periodic coefficients, including the analysis of the so-called discrete Mathieu ...
Encinas A.M., Jiménez M.J.
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Breather solutions on discrete necklace graphs
, 2020 We show the existence of breather solutions in a nonlinear Klein-Gordon system on a discrete graph with periodic junctions. The proof is based on the Theorem of CrandallRabinowitz. Mathematics subject classification (2010): 39A12, 39A28.
Daniela Maier
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The Natural Logarithm on Time Scales
, 2008 We define an appropriate logarithm function on time scales and present its main properties. This gives answer to a question posed by M. Bohner in [J. Difference Equ. Appl. {\bf 11} (2005), no.
Ahlbrandt C. D. +5 more
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Quasi‐adjoint third order difference equations: oscillatory and asymptotic behavior
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 4, Page 781-784, 1986., 1986 In this paper, asymptotic properties of solutions of are investigated via the quasi‐adjoint equation A necessary and sufficient condition for the existence of oscillatory solutions of (E+) is given. An example showing that it is possible for (E+) to have only nonoscillatory solutions is also given.
B. Smith
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Stability and asymptotic properties of a linear fractional difference equation
, 2012 This paper discusses qualitative properties of the two-term linear fractional difference equation ∇α0y(n)=λy(n), where α,λ∈R ...
J. Cermák +2 more
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