On sums of powers of terms in a linear recurrence.

Melham, R.S.

Displaying similar documents to “On sums of powers of terms in a linear recurrence.”

Variant of Lax--Milgram lemma for Banach spaces.

Doboş, Gheorghe (2003)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Large time-stepping spectral methods for the semiclassical limit of the defocusing nonlinear Schrödinger equation.

Liang, Zongqi (2009)

Discrete Dynamics in Nature and Society

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On the Diophantine equation $x^{2} - k x y + y^{2} - 2^{n} = 0$

Refik Keskin, Zafer Şiar, Olcay Karaatlı (2013)

Czechoslovak Mathematical Journal

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In this study, we determine when the Diophantine equation $x^{2} - k x y + y^{2} - 2^{n} = 0$ has an infinite number of positive integer solutions $x$ and $y$ for $0 \leq n \leq 10 .$ Moreover, we give all positive integer solutions of the same equation for $0 \leq n \leq 10$ in terms of generalized Fibonacci sequence. Lastly, we formulate a conjecture related to the Diophantine equation $x^{2} - k x y + y^{2} - 2^{n} = 0$ .

Nontrivial solutions for a robin problem with a nonlinear term asymptotically linear at $- \infty$ and superlinear at $+ \infty$ .

Castro T., Rafael A. (2008)

Revista Colombiana de Matemáticas

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The essential norms of composition operators between generalized Bloch spaces in the polydisc and their applications.

Zhou, Zehua, Liu, Yan (2006)

Journal of Inequalities and Applications [electronic only]

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Maxima and minima of stationary random sequences under a local dependence restriction.

Graça Temido, M. (1999)

Portugaliae Mathematica

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Weak solutions of a stochastic model for two-dimensional second grade fluids.

Razafimandimby, P.A., Sango, M. (2010)

Boundary Value Problems [electronic only]

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Solutions to a perturbed critical semilinear equation concerning the $N$ -Laplacian in $ℝ^{N}$

Elliot Tonkes (1999)

Commentationes Mathematicae Universitatis Carolinae

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The aim of this paper is to study the existence of variational solutions to a nonhomogeneous elliptic equation involving the $N$ -Laplacian $- Δ_{N} u \equiv - {div (| \nabla u |}^{N - 2} \nabla u) = e (x, u) + h (x) in Ω$ where $u \in W_{0}^{1, N} (ℝ^{N})$ , $Ω$ is a bounded smooth domain in $ℝ^{N}$ , $N \geq 2$ , $e (x, u)$ is a critical nonlinearity in the sense of the Trudinger-Moser inequality and $h (x) \in {(W_{0}^{1, N})}^{*}$ is a small perturbation.