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Displaying 1101 – 1120 of 1576

On the number of positive solutions of singularly perturbed 1D nonlinear Schrödinger equations

Patricio Felmer, Salomé Martínez, Kazunaga Tanaka (2006)

Journal of the European Mathematical Society

We study singularly perturbed 1D nonlinear Schrödinger equations (1.1). When $V (x)$ has multiple critical points, (1.1) has a wide variety of positive solutions for small $ε$ and the number of positive solutions increases to $\infty$ as $ε \to 0$ . We give an estimate of the number of positive solutions whose growth order depends on the number of local maxima of $V (x)$ . Envelope functions or equivalently adiabatic profiles of high frequency solutions play an important role in the proof.

On the Numerical Analysis of the Von Karman Equations : Mixed Finite Element Approximation and Continuation Techniques.

L. Reinhart (1982)

Numerische Mathematik

On the Numerical Range in Reflexive Banach Spaces.

George Luna (1977)

Mathematische Annalen

On the numerical range of operators on locally and on H-locally convex spaces

Edvard Kramar (1993)

Commentationes Mathematicae Universitatis Carolinae

The spatial numerical range for a class of operators on locally convex space was studied by Giles, Joseph, Koehler and Sims in [3]. The purpose of this paper is to consider some additional properties of the numerical range on locally convex and especially on $H$ -locally convex spaces.

On the numerical solution of perturbed bifurcation problems.

Elgindi, M.B.M., Langer, R.W. (1995)

International Journal of Mathematics and Mathematical Sciences

On the operator equation $A X - X B = C$ with unbounded operators $A$ , $B$ , and $C$ .

Nguyen, Thanh Lan (2001)

Abstract and Applied Analysis

On the operator equation $α + α^{- 1} = β + β^{- 1}$ .

Thaheem, A.B. (1986)

International Journal of Mathematics and Mathematical Sciences

On the optimal control of nonresonant elliptic equations

Darko Žubrinić (1986)

Commentationes Mathematicae Universitatis Carolinae

On the orbit of the centralizer of a matrix

Ching-I Hsin (2002)

Colloquium Mathematicae

Let A be a complex n × n matrix. Let A' be its commutant in Mₙ(ℂ), and C(A) be its centralizer in GL(n,ℂ). Consider the standard C(A)-action on ℂⁿ. We describe the C(A)-orbits via invariant subspaces of A'. For example, we count the number of C(A)-orbits as well as that of invariant subspaces of A'.

On the orbits of an operator with spectral radius one

J.M.A.M. van Neerven (1995)

Czechoslovak Mathematical Journal

On the orbits of $G$ -closure points of ultimately nonexpansive mappings.

Kiang, Mo Tak (2006)

Fixed Point Theory and Applications [electronic only]

On the o-Spectrum of Order Bounded Operators.

Helmut H. Schaefer (1977)

Mathematische Zeitschrift

On the o-Spektrum of Regular Operators and the Spectrum of Measures.

Wolfgang Ardendt (1981)

Mathematische Zeitschrift

On the $p$ -adic spectral analysis and multiwavelet on $L^{2} (ℚ_{p}^{n})$ .

Chong, Wonyong, Kim, Min-Soo, Kim, Taekyun, Son, Jin-Woo (2003)

International Journal of Mathematics and Mathematical Sciences

On the partial ordering of almost definite matrices

Ar. Meenakshi (1989)

Czechoslovak Mathematical Journal

On the Perron problem for the exponential dichotomy of $C_{0}$ -semigroups.

Preda, P., Pogan, A., Preda, C. (2003)

Acta Mathematica Universitatis Comenianae. New Series

On the Perron-Frobenius theory for sets of positive operators

Karel Horák (1978)

Commentationes Mathematicae Universitatis Carolinae

On the perturbation functions and similarity orbits

Haïkel Skhiri (2008)

Studia Mathematica

We show that the essential spectral radius $ϱ_{e} (T)$ of T ∈ B(H) can be calculated by the formula $ϱ_{e} (T)$ = inf $ℱ_{♯ \cdot ♯} (X T X^{- 1})$ : X an invertible operator, where $ℱ_{♯ \cdot ♯} (T)$ is a Φ₁-perturbation function introduced by Mbekhta [J. Operator Theory 51 (2004)]. Also, we show that if $_{♯ \cdot ♯} (T)$ is a Φ₂-perturbation function [loc. cit.] and if T is a Fredholm operator, then $d i s t (0, σ_{e} (T))$ = sup $_{♯ \cdot ♯} (X T X^{- 1})$ : X an invertible operator.

On the Perturbation Theory for Strongly Continuous Semigroups.

Jürgen Voigt (1977)

Mathematische Annalen

On the point spectrum of self-adjoint extensions.

J. Weidmann, J. Brasche, H. Neidhardt (1993)

Mathematische Zeitschrift

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