On three solutions of the second order periodic boundary-value problem

dc.contributor.author	Draessler, J.
dc.contributor.author	Rachůnková, I.
dc.date.accessioned	2021-01-27T18:14:01Z
dc.date.available	2021-01-27T18:14:01Z
dc.date.issued	2001
dc.identifier.citation	On three solutions of the second order periodic boundary-value problem / J. Draessler, I. Rachůnková // Нелінійні коливання. — 2001. — Т. 4, № 3. — С. 471-486. — Бібліогр.: 6 назв. — англ.	uk_UA
dc.identifier.issn	1562-3076
dc.identifier.other	AMS Subject Classification: 34B15, 34C25
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/174763
dc.description.abstract	We consider the periodic boundary-value problem x'' + a(t)x' + b(t)x = f(t, x, x'), x(') =x(2π), x'(0) = x' (2π), where a, b are Lebesgue integrable functions and f fulfils the Caratheodory conditions. We extend results about the Leray – Schauder topological degree and ´ present conditions implying nonzero values of the degree on sets defined by lower and upper functions. Using such results we prove the existence of at least three different solutions to the above problem.	uk_UA
dc.description.sponsorship	Supported by grant No. 201/01/1451 of the Grant Agency of Czech Republic.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Нелінійні коливання
dc.title	On three solutions of the second order periodic boundary-value problem	uk_UA
dc.title.alternative	Про три розв'язки періодичної крайової задачі другого порядку	uk_UA
dc.title.alternative	О трех решениях периодической краевой задачи второго порядка	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA