BARTUŠEK, Miroslav, Zuzana DOŠLÁ, Mariella CECCHI and Mauro MARINI. Global monotonicity and oscillation for second order differential equation. Czech. Math. J. Praha, 2005, vol. 55, No 2, p. 209 -222. ISSN 0011-4642.
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Basic information
Original name Global monotonicity and oscillation for second order differential equation
Name in Czech Globální monotonie a oscilace diferenciálních rovnic druhého řádu
Authors BARTUŠEK, Miroslav (203 Czech Republic, guarantor), Zuzana DOŠLÁ (203 Czech Republic), Mariella CECCHI (380 Italy) and Mauro MARINI (380 Italy).
Edition Czech. Math. J. Praha, 2005, 0011-4642.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.112
RIV identification code RIV/00216224:14310/05:00013655
Organization unit Faculty of Science
UT WoS 000228696100016
Keywords in English second order nonlinear differential equation;oscillatory solution;nonoscillatory solution;coexistence problem
Tags coexistence problem, nonoscillatory solution, oscillatory solution
Changed by Changed by: prof. RNDr. Zuzana Došlá, DSc., učo 2128. Changed: 23/6/2009 12:24.
Abstract
Oscillatory properties of the second order nonlinear equation (r(t)x')' +q(t)f(x)=0 are investigated.In particular, criteria for the existence of at least one oscillatory solution and for the global monotonicity properties of nonoscillatory solutions are established. The possible coexistence of oscillatory and nonoscillatory solutions is studied too.
Abstract (in Czech)
Jsou studovány oscilační vlastnosti nelinaárních rovnic druhého řádu tvaru (r(t)x')'+q(t)f(x)=0.Jsou formulovány kritéria existence alespoň jednoho oscilatorického řešení a globální monotonie neoscilatorických řešení.Je také studována koexistence oscilatorických a neoscilatorických řešení.
Links
MSM 143100001, plan (intention)Name: Funkcionální diferenciální rovnice a matematicko-statistické modely
Investor: Ministry of Education, Youth and Sports of the CR, Functional-differential equations and mathematical-statistical models
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