Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation | Zendy

Irena Rachůnková | Zendy; Lukáš Rachůnek | Zendy

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Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation

Author(s) -

Irena Rachůnková,

Lukáš Rachůnek

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/981401

Subject(s) - mathematics , lipschitz continuity , mathematical analysis , derivative (finance) , nonlinear system , differential equation , singular solution , function (biology) , pure mathematics , physics , quantum mechanics , evolutionary biology , financial economics , economics , biology

Singular differential equation (p(t)u′)′=p(t)f(u) is investigated. Heref is Lipschitz continuous on ℝ and has at least two zeros 0 and L>0. Thefunction p is continuous on [0,∞) and has a positive continuous derivative on(0,∞) and p(0)=0. An asymptotic formula for oscillatory solutions isderived

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