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Displaying 141 – 160 of 271

On the asymptotic convergence of the polynomial collocation method for singular integral equations and periodic pseudodifferential equations

A. I. Fedotov (2002)

Archivum Mathematicum

We prove the convergence of polynomial collocation method for periodic singular integral, pseudodifferential and the systems of pseudodifferential equations in Sobolev spaces $H^{s}$ via the equivalence between the collocation and modified Galerkin methods. The boundness of the Lagrange interpolation operator in this spaces when $s > 1 / 2$ allows to obtain the optimal error estimate for the approximate solution i.e. it has the same rate as the best approximation of the exact solution by the polynomials.

On the Boundary Element Method for Some Nonlinear Boundary Value Problems.

W. Wendland, K. Ruotsalainen (1988)

Numerische Mathematik

On the Boundedness and the Asymptotic Behaviour of the Non-Negative Solutions of Volterra-Hammerstein Integral Equations.

Horst R. Thieme (1980)

Manuscripta mathematica

On the boundedness of Cauchy singular operator from the space $L_{p}$ to $L_{q}, p > q \geq 1$ .

Khuskivadze, G., Paatashvili, V. (1994)

Georgian Mathematical Journal

On the boundness of the Stokes semigroup in two-dimensional exterior domains.

Wolfgang Borchers, Werner Varnhorn (1993)

Mathematische Zeitschrift

On the buckling of a viscoelastic rod

G. Molnárka (1990)

Banach Center Publications

On the Convergence of a Quadrature Rule for Evaluating Certain Cauchy Principal Value Integrals: An Addendum.

D.F. Paget, D. Elliott (1975/1976)

Numerische Mathematik

On the Convergence of Multi-Grid Methods for a Hypersingular Integral Equation of the First Kind.

T. von Petersdorff, E.P. Stephan (1990)

Numerische Mathematik

On the convergence of Neumann series for noncompact operators

Dagmar Medková (1991)

Czechoslovak Mathematical Journal

On the Convergence of the Galerkin Method for Nonsmooth Solutions of Integral Equations.

J. Saranen, K. Ruotsalainen (1989)

Numerische Mathematik

On the convolution equations over the quarter-plane.

Stojanović, Mirjana (1996)

Novi Sad Journal of Mathematics

On the Dirichlet and Neumann problems in multi-dimensional cone

Vladimir Vasilyev (2014)

Mathematica Bohemica

We consider an elliptic pseudodifferential equation in a multi-dimensional cone, and using the wave factorization concept for an elliptic symbol we describe a general solution of such equation in Sobolev-Slobodetskii spaces. This general solution depends on some arbitrary functions, their quantity being determined by an index of the wave factorization. For identifying these arbitrary functions one needs some additional conditions, for example, boundary conditions. Simple boundary value problems,...

On the dynamics of a nonlinear multidimensional oscillator with memory.

Dinariev, O.Yu. (2000)

Siberian Mathematical Journal

On the dynamics of Bose-Einstein condensation

E. Buffet, Ph. de Smedt, J. V. Pulè (1984)

Annales de l'I.H.P. Analyse non linéaire

On the efficient use of the Galerkin-method to solve Fredholm integral equations

Wolfgang Hackbusch, Stefan A. Sauter (1993)

Applications of Mathematics

In the present paper we describe, how to use the Galerkin-method efficiently in solving boundary integral equations. In the first part we show how the elements of the system matrix can be computed in a reasonable time by using suitable coordinate transformations. These techniques can be applied to a wide class of integral equations (including hypersingular kernels) on piecewise smooth surfaces in 3-D, approximated by spline functions of arbitrary degree. In the second part we show, how to use the...

On the existence and uniqueness of solution of the Cauchy problem for linear integro-differential equations with operator coefficients

Ivan Hlaváček (1971)

Aplikace matematiky

Currently displaying 141 – 160 of 271

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Displaying 141 – 160 of 271

On the asymptotic convergence of the polynomial collocation method for singular integral equations and periodic pseudodifferential equations

On the Boundary Element Method for Some Nonlinear Boundary Value Problems.

On the Boundedness and the Asymptotic Behaviour of the Non-Negative Solutions of Volterra-Hammerstein Integral Equations.

On the boundedness of Cauchy singular operator from the space $L_{p}$ to $L_{q}, p > q \geq 1$ .

On the boundness of the Stokes semigroup in two-dimensional exterior domains.

On the buckling of a viscoelastic rod

On the Convergence of a Quadrature Rule for Evaluating Certain Cauchy Principal Value Integrals: An Addendum.

On the Convergence of Multi-Grid Methods for a Hypersingular Integral Equation of the First Kind.

On the convergence of Neumann series for noncompact operators

On the Convergence of the Galerkin Method for Nonsmooth Solutions of Integral Equations.

On the convolution equations over the quarter-plane.

On the Dirichlet and Neumann problems in multi-dimensional cone

On the dynamics of a nonlinear multidimensional oscillator with memory.

On the dynamics of Bose-Einstein condensation

On the efficient use of the Galerkin-method to solve Fredholm integral equations

On the Eigenproblem for Convolution Integral Equations.

On the Eigenvalue problem of T'Hooft.

On the existence and uniqueness of integrable solutions of functional equations in Banach space.

On the existence and uniqueness of non-negative solutions of a certain non-linear convolution equation

On the existence and uniqueness of solution of the Cauchy problem for linear integro-differential equations with operator coefficients

Currently displaying 141 – 160 of 271