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Displaying 1581 – 1600 of 3198

On the existence of multiple principal eigenvalues for some indefinite linear eigenvalue problems.

Jacqueline Fleckinger, Jesús Hernández, François De Thélin (2003)

RACSAM

We study the existence of principal eigenvalues for differential operators of second order which are not necessarily in divergence form. We obtain results concerning multiplicity of principal eigenvalues in both the variational and the general case. Our approach uses systematically the Krein-Rutman theorem and fixed point arguments for the inverse of the spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case.

On the existence of solution of the equation $L (x) = N (x)$ and a generalized coincidence degree theory. II.

Enayet U, Tarafdar (1981)

Commentationes Mathematicae Universitatis Carolinae

On the existence of solution of the equation $L (x) = N (x)$ and a generalized coincidence degree theory. I.

Enayet U, Tarafdar (1980)

Commentationes Mathematicae Universitatis Carolinae

On the Existence of Wave Operators for Dirac Operators.

Klaus-Jürgen Eckardt (1973/1974)

Manuscripta mathematica

On the exponential of a bounded linear operator in a L(E,E) algebra

Freire, Nuno C. (1991)

Portugaliae mathematica

On the extension of linear operators.

Saccoman, John J. (2001)

International Journal of Mathematics and Mathematical Sciences

On the Fast Convergence of a Galerkin-Like Method for Equations of the Second Kind.

Pierpaolo Omari (1989)

Mathematische Zeitschrift

On the fine spectra of some averaging operators.

Bucur, Amelia (2001)

General Mathematics

On the fine spectrum of generalized upper double-band matrices $Δ^{u v}$ over the sequence space $l_{1}$

J. Fathi, R. Lashkaripour (2013)

Matematički Vesnik

On the fine spectrum of the generalized difference operator $B (r, s)$ over the sequence spaces $c_{0}$ and $c$ .

Altay, Bilâl, Başar, Feyzi (2005)

International Journal of Mathematics and Mathematical Sciences

On the Fine Structure of Spectra.

C.J.A., Jr. Halberg, A. Samuelsson (1971)

Mathematica Scandinavica

On the finite dimensional orbits of linear operators

Larsen, R. (1969)

Portugaliae mathematica

On the Fourier cosine—Kontorovich-Lebedev generalized convolution transforms

Nguyen Thanh Hong, Trinh Tuan, Nguyen Xuan Thao (2013)

Applications of Mathematics

We deal with several classes of integral transformations of the form $f (x) \to D \int_{ℝ_{+}^{2}} \frac{1}{u} (e^{- u cosh (x + v)} + e^{- u cosh (x - v)}) h (u) f (v) d u d v,$ where $D$ is an operator. In case $D$ is the identity operator, we obtain several operator properties on $L_{p} (ℝ_{+})$ with weights for a generalized operator related to the Fourier cosine and the Kontorovich-Lebedev integral transforms. For a class of differential operators of infinite order, we prove the unitary property of these transforms on $L_{2} (ℝ_{+})$ and define the inversion formula. Further, for an other class of differential operators of finite...

On the fractional integral of Weyl in Lp.

C. Martínez, M.D. Martínez, M. Sanz (1994)

Mathematische Zeitschrift

On the Fredholm alternative for the Fučík spectrum.

Drábek, Pavel, Robinson, Stephen B. (2010)

Abstract and Applied Analysis

On the GBDT Version of the Bäcklund-Darboux Transformation and its Applications to Linear and Nonlinear Equations and Weyl Theory

A. Sakhnovich (2010)

Mathematical Modelling of Natural Phenomena

A general theorem on the GBDT version of the Bäcklund-Darboux transformation for systems depending rationally on the spectral parameter is treated and its applications to nonlinear equations are given. Explicit solutions of direct and inverse problems for Dirac-type systems, including systems with singularities, and for the system auxiliary to the N-wave equation are reviewed. New results on explicit construction of the wave functions for radial...

On the Gelfand-Hille theorems

Jaroslav Zemánek (1994)

Banach Center Publications

On the generalized boundary value problem

Boris Rudolf (2000)

Archivum Mathematicum

In the paper it is proved that the generalized linear boundary value problem generates a Fredholm operator. Its index depends on the number of boundary conditions. The existence results of Landesman-Lazer type are given as an application to nonlinear problems by using dual generalized boundary value problems.

On the generalized continuity of the semivariation in locally convex spaces

Ján Haluška (1991)

Acta Universitatis Carolinae. Mathematica et Physica

On the generalized Drazin inverse and generalized resolvent

Dragan S. Djordjević, Stanimirović, Predrag S. (2001)

Czechoslovak Mathematical Journal

We investigate the generalized Drazin inverse and the generalized resolvent in Banach algebras. The Laurent expansion of the generalized resolvent in Banach algebras is introduced. The Drazin index of a Banach algebra element is characterized in terms of the existence of a particularly chosen limit process. As an application, the computing of the Moore-Penrose inverse in $C^{*}$ -algebras is considered. We investigate the generalized Drazin inverse as an outer inverse with prescribed range and kernel....

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