Nonlinear eigenvalue problems for fourth order ordinary differential equations
نویسندگان
چکیده
منابع مشابه
Nonlinear eigenvalue problems for a class of ordinary differential equations
originates in the works of Mirzov [17] and Elbert [5], who named these equations `half linear’. This theory extends various aspects of oscillation theory, such as the Picone identity [10], Sturm comparison theorem [16, 17], oscillation and nonoscillation criteria of Kneser type [16] and Hille type [14], and other oscillation criteria [3]. One branch of this research is the study of the eigenval...
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Asymptotic problems for fourth-order nonlinear differential equations
By a solution of () we mean a function x ∈ C[Tx,∞), Tx ≥ , which satisfies () on [Tx,∞). A solution is said to be nonoscillatory if x(t) = for large t; otherwise, it is said to be oscillatory. Observe that if λ≥ , according to [, Theorem .], all nontrivial solutions of () satisfy sup{|x(t)| : t ≥ T} > for T ≥ Tx, on the contrary to the case λ < , when nontrivial solutions satisfy...
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 1995
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-60-3-249-253