Homogeneous two-point problem for PDE of the second order in time variable and infinite order in spatial variables

Oksana Malanchuk, and Zinoviy Nytrebych. "Homogeneous two-point problem for PDE of the second order in time variable and infinite order in spatial variables." Open Mathematics 15.1 (2017): 101-110. <http://eudml.org/doc/288052>.

@article{OksanaMalanchuk2017,
abstract = {We prove that homogeneous problem for PDE of second order in time variable, and generally infinite order in spatial variables with local two-point conditions with respect to time variable, has only trivial solution in the case when the characteristic determinant of the problem is nonzero. In another, opposite case, we prove the existence of nontrivial solutions of the problem, and we propose a differential-symbol method of constructing them.},
author = {Oksana Malanchuk, Zinoviy Nytrebych},
journal = {Open Mathematics},
keywords = {Null space; PDE; Two-point problem; Differential-symbol method; null space; two-point problem; differential-symbol method},
language = {eng},
number = {1},
pages = {101-110},
title = {Homogeneous two-point problem for PDE of the second order in time variable and infinite order in spatial variables},
url = {http://eudml.org/doc/288052},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Oksana Malanchuk
AU - Zinoviy Nytrebych
TI - Homogeneous two-point problem for PDE of the second order in time variable and infinite order in spatial variables
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 101
EP - 110
AB - We prove that homogeneous problem for PDE of second order in time variable, and generally infinite order in spatial variables with local two-point conditions with respect to time variable, has only trivial solution in the case when the characteristic determinant of the problem is nonzero. In another, opposite case, we prove the existence of nontrivial solutions of the problem, and we propose a differential-symbol method of constructing them.
LA - eng
KW - Null space; PDE; Two-point problem; Differential-symbol method; null space; two-point problem; differential-symbol method
UR - http://eudml.org/doc/288052
ER -