Results 11 to 20 of about 3,723,489 (302)
Approximate solution of second kind integral equations on infinite cylindrical surfaces [PDF]
, 1994 The paper considers second kind integral equations of the form (abbreviated)φφK+=g, in which S is an infinite cylindrical surface of arbitrary smooth cross-section.
Peplow, AT, Chandler-Wilde, SN
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A bounded upwinding scheme for computing convection-dominated transport problems [PDF]
, 2012 A practical high resolution upwind differencing scheme for the numerical solution of convection-dominated transport problems is presented. The scheme is based on TVD and CBC stability criteria and is implemented in the context of the finite difference ...
McKee, Sean +6 more
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Existence theory and qualitative properties of solutions to double delay integral equations
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this work, we are concerned with nonlinear integral equations with two constant delays. According to the behavior of the data functions, existence and uniqueness results of measurable solution, exponentially stable solution, bounded solution and ...
Azzeddine Bellour +2 more
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Qualitative approximation of solutions to discrete Volterra equations
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We present a new approach to the theory of asymptotic properties of solutions to discrete Volterra equations of the form \begin{equation*} \Delta^m x_n=b_n+\sum_{k=1}^{n}K(n,k)f(k,x_{\sigma(k)}). \end{equation*} Our method is based on using the iterated
Malgorzata Migda, Janusz Migda
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Bounded solutions of a difference equation with finite number of jumps of operator coefficient
Karpatsʹkì Matematičnì Publìkacìï, 2020 We study the problem of existence of a unique bounded solution of a difference equation with variable operator coefficient in a Banach space. There is well known theory of such equations with constant coefficient.
A. Chaikovs'kyi, O. Lagoda
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Bounds for Approximate Discrete Tomography Solutions [PDF]
SIAM Journal on Discrete Mathematics, 2013 In earlier papers we have developed an algebraic theory of discrete tomography. In those papers the structure of the functions $f: A \to \{0,1\}$ and $f: A \to \mathbb{Z}$ having given line sums in certain directions have been analyzed. Here $A$ was a block in $\mathbb{Z}^n$ with sides parallel to the axes.
Lajos Hajdu, Robert Tijdeman
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Asymptotic behavior of solutions of discrete Volterra equations [PDF]
Opuscula Mathematica, 2016 We consider the nonlinear discrete Volterra equations of non-convolution type \[\Delta^m x_n=b_n+\sum\limits_{i=1}^{n}K(n,i)f\left(i,x_i\right), \quad n\geq 1.\] We present sufficient conditions for the existence of solutions with prescribed asymptotic ...
Janusz Migda, Małgorzata Migda
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Bounds of Solutions of Integrodifferential Equations [PDF]
Abstract and Applied Analysis, 2011 Some new integral inequalities are given, and bounds of solutions of the following integro‐differential equation are determined: , x(0) = x0, where h : R+ → R, , ℱ : R+ × R2 → R are continuous functions, R+ = [0, ∞).
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Bounded real lemmas for positive descriptor systems [PDF]
, 2015 A well known result in the theory of linear positive systems is the existence of positive definite diagonal matrix (PDDM) solutions to some well known linear matrix inequalities (LMIs).
Yan, Xinggang +3 more
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Comparison results and linearized oscillations for higher-order difference equations
International Journal of Mathematics and Mathematical Sciences, 1992 Consider the difference equationsΔmxn+(−1)m+1pnf(xn−k)=0, n=0,1,… (1)andΔmyn+(−1)m+1qng(yn−ℓ)=0, n=0,1,…. (2)We establish a comparison result according to which, when m is odd, every solution of Eq.(1) oscillates provided that every ...
G. Ladas, C. Qian
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