Results 11 to 20 of about 554,029 (314)
Spectrum of Linear Difference Operators and the Solvability of Nonlinear Discrete Problems
Discrete Dynamics in Nature and Society, 2010 Let T∈ℕ with T>5. Let 𝕋:={1,…,T}. We study the Fučik spectrum Σ of the discrete problem Δ2u(t-1)+λu+(t)-μu-(t)=0, t∈𝕋, u(0)=u(T+1)=0, where u+(t)=max{u(t),0}, u-(t)=max{-u(t),0}.
Ruyun Ma, Youji Xu, Chenghua Gao
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Linear difference operators on periodic functions [PDF]
Proceedings of the American Mathematical Society, 1967 Let p > 0 and B the Banach space of continuous functionsf: R1--RI of period p, with Ifll =max{ If(x)I ; 0 0 for all x, and let t be a real number. Define the bounded linear operator L: B ->B by Lf (x) =f (x+t) -a(x)f(x). We shall obtain results concerning the solutions in B of the equation Lf =g. We say that L is regular if it is one-to-one and onto B,
Otto Plaat
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On meromorphic equivalence of linear difference operators [PDF]
Annales de l'Institut Fourier, 1990 We consider linear difference equations whose coefficients are meromorphic at ∞. We characterize the meromorphic equivalence classes of such equations by means of a system of meromorphic invariants. Using an approach inspired by the work of G. D. Birkhoff we show that this system is free.
G. K. Immink
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Reducible linear difference operators
Aequationes Mathematicae, 1972 Let \(f = \sum_{i=0}^n A^{(i)}y_i\), \(A^{(n)}\ne 0\), be a linear homogeneous difference polynomial (LHDP) with coefficients in the difference field \(k\) of characteristic 0. The author defines \(f\) to be reducible at \(q\) to order \(r\), \(r 2\) there exists a class of second order difference equations reducible at \(q\) but not at any \(t1 ...
Charles H. Franke
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The formal classification of linear difference operators
Indagationes Mathematicae (Proceedings), 1983 AbstractA Jordan canonical form for formal difference operators, like the one in [7], is derived in a way inspired by [3], [4]. This yields a classification of meromorphic difference operators in a neighbourhood of infinity, up to formal equivalence.
C. Praagman
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Factorization method and general second order linear difference equation [PDF]
, 2017 This paper addresses an investigation on a factorization method for difference equations. It is proved that some classes of second order linear difference operators, acting in Hilbert spaces, can be factorized using a pair of mutually adjoint first order
Dobrogowska, Alina +1 more
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The Z-Transform Method and Delta Type Fractional Difference Operators
Discrete Dynamics in Nature and Society, 2015 The Caputo-, Riemann-Liouville-, and Grünwald-Letnikov-type difference initial value problems for linear fractional-order systems are discussed. We take under our consideration the possible solutions via the classical Z-transform method.
Dorota Mozyrska, Małgorzata Wyrwas
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Monodromy Matrix for Linear Difference Operators with Almost Constant Coefficients
Journal of Mathematical Analysis and Applications, 1995 Abstract: "A new method is proposed for solving the discrete scattering problem for a linear single-valued difference operator of arbitrary order with almost constant coefficients. The treatment is concerned with the asymptotic behavior of its eigenfunctions as [absolute value of t] -> [infinity].
Aurelija Trgo
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The Algebra of Linear Partial Difference Operators and Its Applications [PDF]
SIAM Journal on Mathematical Analysis, 1980 The algebra of linear partial difference operators is investigated, and an elimination procedure demonstrated. Applications to combinatorics are given. In particular, a new proof and a q-analogue of MacMahon’s Master Theorem are given.
D. Zeilberger
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A Note on the Differences of Two Positive Linear Operators
Constructive Mathematical Analysis, 2019 In the present note we find the general estimate in terms of Paltanea's modulus of continuity. In the end, we consider some examples and we apply our result for such examples to obtain the quantitative estimates for the difference of operators.
TACHEV, Gancho, GUPTA, Vijay
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