نتایج جستجو برای: generalized resolvent equations

تعداد نتایج: 391442  

2005
Dariusz Chruściński Jacek Jurkowski

Quantization of a damped harmonic oscillator leads to so called Bateman’s dual system. The corresponding Bateman’s Hamiltonian, being a self-adjoint operator, displays the discrete family of complex eigenvalues. We show that they correspond to the poles of energy eigenvectors and the corresponding resolvent operator when continued to the complex energy plane. Therefore, the corresponding genera...

Journal: :Appl. Math. Lett. 2000
A. H. Siddiqi Rais Ahmad

We use Nadler’s theorem and the resolvent operator technique for m-accretive mappings to suggest an iterative algorithm for solving generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces. We prove the existence of solutions for our inclusions without compactness assumption and the convergence of the iterative sequences generated by the algorithm i...

Journal: :J. Computational Applied Mathematics 2010
Tsutomu Ikegami Tetsuya Sakurai Umpei Nagashima

The Sakurai-Sugiura projection method, which solves a generalized eigenvalue problem to find certain eigenvalues in a given domain, was reformulated by using the resolvent theory. A new interpretation based on the filter diagonalization was given, and the corresponding filter function was derived explicitly. The block version of the method was also proposed, which enabled to resolve degenerated...

1999
B. Eynard

In this article, we study the q-state Potts random matrix models extended to branched polymers, by the equations of motion method. We obtain a set of loop equations valid for any arbitrary value of q. We show that, for q = 2− 2 cos l r π (l, r mutually prime integers with l < r ), the resolvent satisfies an algebraic equation of degree 2r− 1 if l+ r is odd and r− 1 if l+ r is even. This general...

Journal: :Communications in Mathematical Physics 2022

In this article, we shall construct the resolvent of Laplacian at high energies near spectrum on non-product conic manifolds with a single cone tip. Microlocally, kernel is sum b-pseudodifferential operators, scattering pseudodifferential operators and intersecting Legendrian distributions. As an application, establish Strichartz estimates for Schrödinger equations non-compact multiple singular...

Journal: :Asian Journal of Mathematics 2021

We study the self-adjoint Dirac operators D = D0 + V (x), where is free three-dimensional operator and (x) a smooth compactly supported Hermitian matrix potential. define resonances of as poles meromorphic continuation its cut-off resolvent. By analyzing resolvent behaviour at spectrum edges ±m, we establish generalized Birman-Krein formula, taking into account possible ±m. As an application ne...

2007
T. A. Nofal

The author studies the inverse scattering problem for a boundary value problem of a generalized one dimensional Schrödinger type with a discontinuous coefficient and eigenparameter dependent boundary condition. The solutions of the considered eigenvalue equation is presented and its scattering function that satisfies some properties is induced. The discrete spectrum is studied and the resolvent...

Journal: :Filomat 2021

This work studies the existence and p-th moment asymptotic stability of mild solution some neutral fractional stochastic integro-differential equations involving non-instantaneous impulses Poisson jumps. Sufficient conditions proving solutions are obtained utilizing analysis, resolvent operator Krasnoselskii-Schaefer type fixed point theorem.

2008
J. H. O. Sales T. Frederico B. M. Pimentel B. V. Carlson

We developed the formal connection of the field theoretical Bethe-Salpeter equation including the ladder approximation with its representation on the light-front for a bosonic model. We use the light-front Green's function for the N-particle system for two-particles plus N-2 intermediate bosons. We derived an infinite set of coupled hierarchy equations or iterated resolvent from which the Green...

2004
Anna Karczewska

The aim of the paper is to provide some regularity results for stochastic convolutions corresponding to stochastic Volterra equations in separable Hilbert space. We study convolutions of the form WΨ(t) := ∫ t 0 S(t − τ)Ψ(τ)dW (τ), t ≥ 0, where S(t), t ≥ 0, is so-called resolvent for Volterra equation considered,Ψ is an appropriate process and W is a cylindrical Wiener process. In the paper we e...

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