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

• Autorzy: Oksana Malanchuk , Zinoviy Nytrebych
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Null space; PDE; Two-point problem; Differential-symbol method

Kategorie tematyczne

• 35G15: Boundary value problems for linear higher-order equations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 101-110

Daty

wydano

2017-01-01

otrzymano

2016-10-24

zaakceptowano

2017-01-17

online

2017-02-17

Twórcy

autor

Oksana Malanchuk

• Danylo Halytsky Lviv National Medical University, Lviv,

autor

Zinoviy Nytrebych

• Lviv Polytechnic National University, Lviv,

Identyfikatory

DOI

10.1515/math-2017-0009