DOŠLÁ, Zuzana, Mariella CECCHI, Mauro MARINI and Ivo VRKOČ. Integral conditions for nonoscillation of second order nonlinear differential equations. Nonlin. Anal. 2006, vol. 64, No 5, p. 1278-1289, 13 pp. ISSN 0362-546X.
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Basic information
Original name Integral conditions for nonoscillation of second order nonlinear differential equations
Name in Czech Integrální podmínky neoscilatoričnosti nelineárních diferenciálních rovnic 2. řádu
Authors DOŠLÁ, Zuzana (203 Czech Republic, guarantor), Mariella CECCHI (380 Italy), Mauro MARINI (380 Italy) and Ivo VRKOČ (203 Czech Republic).
Edition Nonlin. Anal. 2006, 0362-546X.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.677
RIV identification code RIV/00216224:14310/06:00015304
Organization unit Faculty of Science
UT WoS 000235460900010
Keywords in English Change of integration; half-linear differential equation; nonoscillatory solution; principal solution
Tags Change of integration, half-linear differential equation, nonoscillatory solution, Principal solution
Tags International impact, Reviewed
Changed by Changed by: prof. RNDr. Zuzana Došlá, DSc., učo 2128. Changed: 23/6/2009 12:17.
Abstract
An extension of the Fubini theorem is presented and applied in studying the possible coexistence of nonoscillatorz solutions for the nonlinear second order differential equations of the Emden-Fowler type. Some discrepancies among the super-half linear, half-linear and sub-half linear case are pointed out and compared with the linear case. The obtained result for the half-linear equation is applied to prove the integral characterization of principal solutions.
Abstract (in Czech)
Je dokázáno zobecnění Fubiniovy věty s aplikací na studium problému koexistence neoscilatorických řešení s různou asymptotikou pro nelineární diferenciální rovnice Emden-Fowlerova typu. Jsou ukázány některé rozdíly mezi super-pololineárním, pololineárním a sub-pololineárním případem a provedeno srovnání s lineárním případem. Výsledky jsou dále aplikovány k důkazu integrální charakterizace hlavního řešení pololineární rovnice.
Links
IAA1163401, research and development projectName: Limitní vlastnosti řešení diferenciálních rovnic
Investor: Academy of Sciences of the Czech Republic, Limited properties of solutions of differential equations
MSM0021622409, plan (intention)Name: Matematické struktury a jejich fyzikální aplikace
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications
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