Results 31 to 40 of about 27,208 (276)

Integral resolvent for Volterra equations and Favard spaces

Issues of Analysis, 2022
The authors study the Volterra integral equation \[ x(t)=x_0 + \int_0^t a(t-s) Ax(s)\, ds,\quad t\geq 0, \] in a Banach space \(X\), where \(a\in L^1_{\text{loc}}(\mathbb R^+)\) and \(A\) is a densely define closed operator in \(X\). The integral resolvent associated with this equation is a strongly continuous family \(R(t)\) of bounded operators such ...
A. Fadili, F. Maragh
openaire   +2 more sources

Differential resolvents of minimal order and weight

International Journal of Mathematics and Mathematical Sciences, 2004
We will determine the number of powers of α that appear with nonzero coefficient in an α-power linear differential resolvent of smallest possible order of a univariate polynomial P(t) whose coefficients lie in an ordinary differential field and whose ...
John Michael Nahay
doaj   +1 more source

Resolvent estimates with mild trapping [PDF]

, 2012
We discuss recent progress in understanding the effects of certain trapping geometries on cut-off resolvent estimates, and thus on the qualititative behavior of linear evolution equations.
Wunsch, Jared
core   +2 more sources

Powersum formula for polynomials whose distinct roots are differentially independent over constants

International Journal of Mathematics and Mathematical Sciences, 2002
We prove that the author's powersum formula yields a nonzero expression for a particular linear ordinary differential equation, called a resolvent, associated with a univariate polynomial whose coefficients lie in a differential field of characteristic ...
John Michael Nahay
doaj   +1 more source

Wave Propagation and Diffusive Transition of Oscillations in Pair Plasmas with Dust Impurities

, 2008
In view of applications to electron-positron pair-plasmas and fullerene pair-ion-plasmas containing charged dust impurities a thorough discussion is given of three-component Plasmas.
Andrzej J. Turski, Barbara Atamaniuk, David P. Resendes, José Tito Mendonça, Padma K. Shukla   +4 more
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Finite-dimensional perturbations of linear operators and some applications to boundary integral equations [PDF]

, 1999
Finite-dimensional perturbing operators are constructed using some incomplete information about eigen-solutions of an original and/or adjoint generalized Fredholm operator equation (with zero index).
Mikhailov, SE
core   +1 more source

GENERAL VARIATIONAL INCLUSIONS AND GENERAL RESOLVENT EQUATIONS

Bulletin of the Korean Mathematical Society, 2004
Summary: In this paper, we introduce and study a new class of variational inclusions, called general variational inclusions. We prove the equivalence between the general variational inclusions, the general resolvent equations, and the fixed-point problems, using the resolvent operator technique.
Liu, Zeding, Ume, Jeong Sheok, Kang, Shin Min   +2 more
openaire   +1 more source

(a,k)-Regularized C-Resolvent Families: Regularity and Local Properties

Abstract and Applied Analysis, 2009
We introduce the class of (local) (a,k)-regularized C-resolvent families and discuss its basic structural properties. In particular, our analysis covers subjects like regularity, perturbations, duality, spectral properties and subordination principles ...
Marko Kostic
doaj   +1 more source

Free Energy of an Inhomogeneous Superconductor: a Wave Function Approach

, 1998
A new method for calculating the free energy of an inhomogeneous superconductor is presented. This method is based on the quasiclassical limit (or Andreev approximation) of the Bogoliubov-de Gennes (or wave function) formulation of the theory of weakly ...
A. A. Abrikosov, A. E. Jacobs, A. E. Jacobs, A. F. Andreev, A. Schmid, Anthony J. Leggett, C. Caroli, C. J. Pethick, C. R. Hu, C. R. Hu, D. E. McCumber, D. Hone, D. Waxman, D. Y. Chen, E. Abrahams, E. Witten, F. Schwabl, F. Sharifi, G. Blatter, G. Eilenberger, G. Junker, H. T. C. Stoof, I. J. R. Aitchison, I. M. Gelfand, I. S. Gradshteyn, Ioan Kosztin, J. Bar-Sagi, J. Bar-Sagi, J. Bardeen, J. Bardeen, J. Bardeen, J. Feinberg, J. R. Schrieffer, J. S. Langer, J. W. Serene, L. A. Dickey, L. E. Gendenshtein, L. G. Azlamazov, L. Infeld, L. J. Buchholtz, L. J. Buchholtz, L. P. Gor’kov, L. Tewordt, M. Fogelstrom, M. Greiter, M. Stone, Michael Stone, N. Giordano, N. R. Werthamer, N. R. Werthamer, P. Ao, P. G. de Gennes, P. Nozieres, P. W. Anderson, R. Balian, R. M. Cleary, R. M. Cleary, S. Saito, S. Saito, V. N. Popov, W. L. Clinton, W. N. Mathews, Jr., W. Stephen, X. S. Ling, Y. B. Kimm, Šimon Kos   +65 more
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Bounded and multiperiodic solutions of the system of partial integro-differential equations

Қарағанды университетінің хабаршысы. Математика сериясы, 2019
The system of partial integro - differential equations with an operator of differentiation with respect to directions of vector field is considered. The considering integro - differential equation does not contain space variables.
G.M. Aitenova, Zh.A. Sartabanov, G.A. Abdikalikova , A. Kerimbekov   +3 more
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