Oscillation theory of self-adjoint equations and some its applications
Došlý, Ondřej
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Došlý, Ondřej
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Ondřej Došlý, Jan Osička (2002)
Czechoslovak Mathematical Journal
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Oscillation and nonoscillation criteria for the higher order self-adjoint differential equation are established. In these criteria, equation is viewed as a perturbation of the conditionally oscillatory equation where is the critical constant in conditional oscillation. Some open problems in the theory of conditionally oscillatory, even order, self-adjoint equations are also discussed.
Ondřej Došlý (2000)
Czechoslovak Mathematical Journal
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In this paper we investigate oscillatory properties of the second order half-linear equation Using the Riccati technique, the variational method and the reciprocity principle we establish new oscillation and nonoscillation criteria for (*). We also offer alternative methods of proofs of some recent oscillation results.
Blanka Baculíková (2006)
Archivum Mathematicum
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Our aim in this paper is to present criteria for oscillation of the nonlinear differential equation The obtained oscillatory criteria improve existing ones.
Taylor, W.E.jun. (1983)
International Journal of Mathematics and Mathematical Sciences
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