Multipoint initial-final value problems for dynamical Sobolev-type equations in the space of noises
Date
2018-06-19
Authors
Favini, Angelo
Zagrebina, Sophiya
Sviridyuk, Georgy
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Dynamical Sobolev-type equation, Wiener K-process, Multipoint initial-final conditions, Nelson-Gliklikh derivative;white noise, Space of noises, Stochastic Hoff equation
Citation
Favini, A., Zagrebina, S. A., & Sviridyuk, G. A. (2018). Multipoint initial-final value problems for dynamical Sobolev-type equations in the space of noises. <i>Electronic Journal of Differential Equations, 2018</i>(128), pp. 1-10.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.