The Dirichlet problem for the fourth order nonlinear ordinary differential equations at resonance
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00534402" target="_blank" >RIV/67985840:_____/20:00534402 - isvavai.cz</a>
Alternative codes found
RIV/00216305:26510/20:PU138158
Result on the web
<a href="https://doi.org/10.3103/S1068362320050039" target="_blank" >https://doi.org/10.3103/S1068362320050039</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3103/S1068362320050039" target="_blank" >10.3103/S1068362320050039</a>
Alternative languages
Result language
angličtina
Original language name
The Dirichlet problem for the fourth order nonlinear ordinary differential equations at resonance
Original language description
Landesman-Lazer’s type efficient sufficient conditions are established for the solvability of the two-point boundary value problem u(4) (t)=p(t)u(t)+f(t,u(t))+h(t) for a≤t≤b, u(i)(a)=0, u(i)(b)=0,(i=0,1), where h,p∈L([a,b],R) and f∈K([a,b]×R,R), in the case where the linear problem w(4)(t)=p(t)w(t), w(i)(a)=0, w(i)(b)=0, (i=0,1) has nontrivial solutions. The results obtained in the paper are optimal in the sense that if f≡0, i.e. when nonlinear equation turns to the linear equation, from our results follows the first part of Fredholm’s theorem.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences
ISSN
1068-3623
e-ISSN
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Volume of the periodical
55
Issue of the periodical within the volume
5
Country of publishing house
AM - ARMENIA
Number of pages
12
Pages from-to
291-302
UT code for WoS article
000588098600002
EID of the result in the Scopus database
2-s2.0-85095684581