5 edition of **Operator theory and boundary Eigenvalue problems** found in the catalog.

Operator theory and boundary Eigenvalue problems

Workshop on Operator Theory and Boundary Eigenvalue Problems (1993 Vienna, Austria)

- 53 Want to read
- 13 Currently reading

Published
**1995**
by Birkhauser Verlag in Basel, Boston
.

Written in English

- Operator theory -- Congresses.,
- Boundary value problems -- Congresses.

**Edition Notes**

Statement | edited by I. Gohberg, H. Langer. |

Series | Operator theory, advances and applications ;, vol. 80, Operator theory, advances and applications ;, v. 80. |

Contributions | Gohberg, I. 1928-, Langer, H. |

Classifications | |
---|---|

LC Classifications | QA329 .W665 1993 |

The Physical Object | |

Pagination | x, 313 p. ; |

Number of Pages | 313 |

ID Numbers | |

Open Library | OL788332M |

ISBN 10 | 0817652752, 3764352752 |

LC Control Number | 95020689 |

Let A be a uniformly elliptic second order linear operator on a smooth bounded domain Omega subset of R-n. We study the eigenvalue problem Au = lambdau subject to boundary conditions B(0)u. The book contains a detailed account of the application of variational methods to estimate the eigenvalues of operators with measurable coefficients defined by the use of quadratic form techniques. This book could be used either for self-study or as a course text, and aims to lead the reader to the more advanced literature on the by:

The linearization of boundary eigenvalue problems and reproducing kernel Hilbert spaces The boundary eigenvalue problems for the adjoint of a symmetric relation S in a Hil- ﬁrst author at the International Workshop on Operator Theory and Applications held. formulate the problem and investigate its properties in operator theory views. The most important result is the estimation of the eigenvalues and eigenfunctions (see Theorem 4).

Contribution to Book Quasi-uniformly Positive Operators in Krein Space Operator Theory and Boundary Eigenvalue Problems, Operator Theory: Advances and Applications (). () A fixed-point theorem for S-type operators on Banach spaces and its applications to boundary-value problems. Nonlinear Analysis: Theory, Methods & Applications , () Monotone positive solutions for a fourth order equation with nonlinear boundary by:

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The Workshop on Operator Theory and Boundary Eigenvalue Problems was held at the Technical University, Vienna, Austria, July 27 to 30, It was the seventh workshop in the series of IWOTA (International Workshops on Operator Theory and Applications).

The main topics at the workshop were. Operator Theory and Boundary Eigenvalue Problems: International Workshop in Vienna, July(Operator Theory: Advances and Applications) th Edition by I.

Gohberg Format: Paperback. Buy Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems (Operator Theory: Advances and Applications) on FREE SHIPPING on qualified orders Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems (Operator Theory: Advances and Applications): Förster, Karl-Heinz, Jonas, Peter, Langer, Heinz: About these proceedings.

Introduction. The Workshop on Operator Theory and Boundary Eigenvalue Problems was held at the Technical University, Vienna, Austria, July 27 to 30, It was the seventh workshop in the series of IWOTA (International Workshops on Operator Theory and Applications).

Operator Theory and Boundary Eigenvalue Problems: International Workshop in Vienna, July 27–30, Daniel Alpay, Marek Rakowski (auth.), I. Gohberg, H. Langer (eds.) The Workshop on Operator Theory and Boundary Eigenvalue Problems was held at the Technical University, Vienna, Austria, July 27 to.

Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems Operator Theory, Analysis and Mathematical Physics Operator Theory, Analysis and the State Space Approach. Purchase Non-Self-Adjoint Boundary Eigenvalue Problems, Volume - 1st Edition.

Print Book & E-Book. ISBNEigenvalue problems for diﬀerential operators We want to ﬁnd eigenfunctions of (linear) diﬀerential operators acting on functions on the interval [0,l] that satisfy boundary conditions at the endpoints.

(In this discussion, we will assume that the function 0 solves A0 = 0 and satisﬁes the boundary File Size: 52KB. For the first time in the mathematical literature this two-volume work introduces a unified and general approach to the asymptotic analysis of elliptic boundary value problems in singularly perturbed domains.

This first volume is devoted to domains whose boundary is smooth in the neighborhood of. Key Concepts: Eigenvalue Problems, Sturm-Liouville Boundary Value Problems; Robin Boundary conditions. Reference Section: Boyce and Di Prima Section and 28 Boundary value problems and Sturm-Liouville theory: Eigenvalue problem summary • We have seen how useful eigenfunctions are in the solution of various Size: KB.

Orthogonality Sturm-Liouville problems Eigenvalues and eigenfunctions Introduction to Sturm-Liouville Theory Ryan C. Daileda Trinity University Partial Diﬀerential Equations Ap Daileda Sturm-Liouville Theory. The boundary value problem x2y File Size: KB. In this paper the operator-theoretical method to investigate a new type boundary value problems consisting of a two-interval Sturm-Liouville equation together with boundary and transmission conditions dependent on eigenparameter is developed.

By suggesting our own approach, we construct modified Hilbert spaces and a linear operator in them in such a way that the considered problem can Cited by: "Proceedings of the Workshop on Operator Theory and Boundary Eigenvalue Problems which was held at the Technical University of Vienna"--Page ix.

Description: x, pages ; 24 cm. (a)De nition, Cauchy problem, existence and uniqueness; (b)Equations with separating variables, integrable, linear. Higher order equations (c)De nition, Cauchy problem, existence and uniqueness; Linear equations of order 2 (d)General theory, Cauchy problem, existence and uniqueness.

The Workshop on Operator Theory and Boundary Eigenvalue Problems was held at the Technical University, Vienna, Austria, July 27 to 30, It was the seventh workshop in the series of IWOTA (International Workshops on Operator Theory and Applications). An Associated One Parameter Family of Right Definite Operators 3.

Existence of Eigenvalues 4. Lemmas and Proofs 5. LC Non-Oscillatory Problems 6. Further Eigenvalue Properties in the LCNO Case 7. Approximating a Singular Problem with Regular Problems 8.

Floquet Theory of Left-Definite Problems 9. Comments Part 5. HALF INVERSE PROBLEMS FOR THE IMPULSIVE OPERATOR WITH EIGENVALUE-DEPENDENT BOUNDARY CONDITIONS YASSER KHALILI, MILAD YADOLLAHZADEH, MOHSEN KHALEGHI MOGHADAM Communicated by Ira W. Herbst Abstract. In this work we study a Sturm-Liouville operator with a piece-wise continuous coe cient and a spectral parameter in the boundary condition.

Abstract. This chapter includes various results on the spectral properties for three types of nonlinear elliptic operators: p-Laplacian, (p, q)-Laplacian, and nonhomogeneousa systematic presentation of the Fučík spectrum for p-Laplacian under Dirichlet, Neumann, Steklov, and Robin boundary conditions iseigenvalue problems for (p, q)-Laplacian with indefinite.

Since we aim to consider the boundary eigenvalue problem, in case that is self-adjoint, the boundary operators are, up to permutation, As in [4, Proposition ], we obtain the following. Proposition 2. The operator pencil is a Fredholm valued operator function with by: 2.

In Sturm and Liouville published a series of papers on second order linear ordinary differential operators, which started the subject now known as the Sturm-Liouville problem.

In Hermann Weyl published an article which started the study of singular Sturm-Liouville problems. Since then, the Sturm-Liouville theory remains an intensely active field of research, with many. The self-adjoint matrix Sturm–Liouville operator on a finite interval with a boundary condition in general form is studied.

We obtain asymptotic formulas for the eigenvalues and the weight matrices of the considered operator. These spectral characteristics play an important role in the inverse spectral theory. Our technique is based on an analysis of analytic functions and on the contour Cited by: 1.The problem of finding the eigenvalues λ such that the boundary-value problems, have non-trivial solutions yields the eigenfunction of the regular fractional Sturm–Liouville eigenvalue problem.

The following theorem characterizes the eigensolutions we obtain:Cited by: In this book, we focus on extremal problems. For instance, we look for a domain which minimizes or maximizes a given eigenvalue of the Laplace operator with various boundary conditions and various geometric constraints.

We also consider the case of functions of eigenvalues.