Multipoint initial-final value problems for dynamical Sobolev-type equations in the space of noises

Multipoint initial-final value problems for dynamical Sobolev-type equations in the space of noises

We prove the existence of a unique solution for a linear stochastic Sobolev-type equation with a relatively p-bounded operator and a multipoint initial-final condition, in the space of ``noises''. We apply the abstract results to specific multipoint initial-final and boundary value pr...

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Bibliographic Details
Main Authors: Angelo Favini, Sophiya A. Zagrebina, Georgy A. Sviridyuk
Format: Article
Language:English
Published: Texas State University 2018-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Dynamical Sobolev-type equation
Wiener K-process
multipoint initial-final conditions
Nelson-Gliklikh derivative
hite noise
space of noises
stochastic Hoff equation
Online Access:http://ejde.math.txstate.edu/Volumes/2018/128/abstr.html
Description
Summary:We prove the existence of a unique solution for a linear stochastic Sobolev-type equation with a relatively p-bounded operator and a multipoint initial-final condition, in the space of ``noises''. We apply the abstract results to specific multipoint initial-final and boundary value problems for the linear Hoff equation which models I-beam bulging under random load.
ISSN:1072-6691

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