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Titlebook: Differential and Integral Operators; International Worksh I. Gohberg,R. Mennicken,C. Tretter Conference proceedings 1998 Springer Basel AG

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Examples of positive operators in Krein space with 0 a regular critical point of infinite rank,ldly varying coefficients on ℝ. are similar to a self-adjoint operator in a Hilbert space. These operators have the whole ℝ. as the spectrum. It is shown that they are positive operators in corresponding Krein spaces, and the whole problem is reduced to showing that 0 is not a singular critical poin
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On estimates of the first eigenvalue in some elliptic problems,e theory of boundary value problems it serves for estimation of the domain of existence or uniqueness of solutions. We consider the problem of existence of the extremal values for the first eigenvalue for a number of boundary value problems. For example, the boundary value problem of the form .=λV (
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An evolutionary problem of a flow of a nonlinear viscous fluid in a deformable viscoelastic tube,the shape of the domain in which the fluid flows, this domain is changing in time, and the flow of the fluid influences the oscillations of the tube. So one has to solve a coupled system of equations of forced oscillations of the tube and of a flow of a fluid in a varying domain, and this domain is
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Quantum compound Poisson processes and white noise analysis, projection spectral theorem, we construct the Fourier transform in generalized joint eigenvectors of the family . which is unitary between the Fock space and the ..-space of compound Poisson white noise, (..CP). This construction gives the possibility of introducing spaces of test and generalized f
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Interpolation of some function spaces and indefinite Sturm-Liouville problems,erval (0,1), and . is a real-valued function assuming both positive and negative values. For our problem, we prove under some assumptions that the eigenvectors and associated vectors constitute a Riesz basis in the space .. with the weight |.|. To study the problem, we consider the question of inter
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