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Displaying 921 – 940 of 1716

On solutions of integral equations with analytic kernels and rotations

Nguyen Van Mau, Nguyen Minh Tuan (1996)

Annales Polonici Mathematici

We deal with a class of integral equations on the unit circle in the complex plane with a regular part and with rotations of the form (*) x(t) + a(t)(Tx)(t) = b(t), where $T = M_{n ₁, k ₁} . . . M_{n_{m}, k_{m}}$ and $M_{n_{j}, k_{j}}$ are of the form (3) below. We prove that under some assumptions on analytic continuation of the given functions, (*) is a singular integral equation for m odd and is a Fredholm equation for m even. Further, we prove that T is an algebraic operator with characteristic polynomial $P_{T} (t) = t ³ - t$ . By means of the Riemann boundary value...

On solutions of linear difference equations with infinite delay.

Lakrib, Mustapha (2000)

Southwest Journal of Pure and Applied Mathematics [electronic only]

On solvability of boundary value problem for elliptic equations with Bitsadze-Samarskij condition.

Chabrowski, J.H. (1988)

International Journal of Mathematics and Mathematical Sciences

On solvability of nonlinear equations.

Lavrent'ev, I.M., Sćepanović, R. (1984)

Publications de l'Institut Mathématique. Nouvelle Série

On some class of quasilinear hyperbolic systems of partial differential-functional equations of the first order

Jan Turo (1986)

Czechoslovak Mathematical Journal

On some classes of Volterra integral equations in Banach space

Bogdan Rzepecki (1982)

Colloquium Mathematicae

On some contact problems for bodies with elastic inclusions.

Shavlakadze, N. (1998)

Georgian Mathematical Journal

On some differential and integro-differential equations associated with Jaocobi's differential equation.

M.A. Al-Bassam (1976)

Journal für die reine und angewandte Mathematik

On some generalizations Bellman-Bihari result for integro-functional inequalities for discontinuous functions and their applications.

Gallo, Angela, Piccirillo, Anna Maria (2009)

Boundary Value Problems [electronic only]

On some integral equation

J. Zabczyk (1972)

Colloquium Mathematicae

On some integrodifferential inequalities in one variable defined on an infinite interval

Fouad A. Megahed, G. Hamad, Shaban Raslan Salem (1987)

Archivum Mathematicum

On some linear Volterra delay equations

Jiří Cerha (1976)

Časopis pro pěstování matematiky

On some retarded integral inequalities and applications.

Pachpatte, B.G. (2002)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

On some structural properties of Banach function spaces and boundedness of certain integral operators

T. S. Kopaliani (2004)

Czechoslovak Mathematical Journal

In this paper the notions of uniformly upper and uniformly lower $ℓ$ -estimates for Banach function spaces are introduced. Further, the pair $(X, Y)$ of Banach function spaces is characterized, where $X$ and $Y$ satisfy uniformly a lower $ℓ$ -estimate and uniformly an upper $ℓ$ -estimate, respectively. The integral operator from $X$ into $Y$ of the form $K f (x) = ϕ (x) \int_{0}^{x} k (x, y) f (y) ψ (y) d y$ is studied, where $k$ , $ϕ$ , $ψ$ are prescribed functions under some local integrability conditions, the kernel $k$ is non-negative and is assumed to satisfy certain additional...

On Spline Galerkin Methods for Singular Integral Equations with Piecewise Continuous Coefficients.

S. Prößdorf, A. Rathsfeld (1986)

Numerische Mathematik

On stability and robust stability of positive linear Volterra equations in Banach lattices

Satoru Murakami, Pham Ngoc (2010)

Open Mathematics

We study positive linear Volterra integro-differential equations in Banach lattices. A characterization of positive equations is given. Furthermore, an explicit spectral criterion for uniformly asymptotic stability of positive equations is presented. Finally, we deal with problems of robust stability of positive systems under structured perturbations. Some explicit stability bounds with respect to these perturbations are given.

On stability of linear neutral differential equations with variable delays

Leonid Berezansky, Elena Braverman (2019)

Czechoslovak Mathematical Journal

We present a review of known stability tests and new explicit exponential stability conditions for the linear scalar neutral equation with two delays $\dot{x} (t) - a (t) \dot{x} (g (t)) + b (t) x (h (t)) = 0,$ where $| a (t) | < 1, b (t) \geq 0, h (t) \leq t, g (t) \leq t,$ and for its generalizations, including equations with more than two delays, integro-differential equations and equations with a distributed delay.

On the $A$ -integrability of singular integral transforms

Shobha Madan (1984)

Annales de l'institut Fourier

In this article we study the weak type Hardy space of harmonic functions in the upper half plane $R_{+}^{n + 1}$ and we prove the $A$ -integrability of singular integral transforms defined by Calderón-Zygmund kernels. This generalizes the corresponding result for Riesz transforms proved by Alexandrov.

On the application of measure of noncompactness to existence theorems

Stanisław Szufla (1986)

Rendiconti del Seminario Matematico della Università di Padova

On the approximate solution of nonlinear singular integral equations with positive index.

Amer, S.M. (1996)

International Journal of Mathematics and Mathematical Sciences

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