Oscillation theorems concerning non-linear differential equations of the second order

• Autorzy: Elabbasy E.M. , Elzeiny Sh.R.
• Języki publikacji: PL

Abstrakty

EN

This paper concerns the oscillation of solutions of the differential eq. [r,(t) ψ(x(t)) ƒ (x(t))] + q(t) φ (g(x(t)), r(t)ψ(x(t))=0 where uφ(u,v) > 0 for all u ≠ 0, xg(x)>0, xf(x)>0 for all x ≠ 0, ψ(x)>0 for all x ∈ R, r(t)>0 for t≥t0>0 and q is of arbitrary sign. Our results complement the results in [A.G. Kartsatos, On oscillation of nonlinear quations of second order, J. Math. Anal. Appl. 24 (1968), 665-668], and improve a number of existing oscillation criteria. Our main results are illustrated with examples.

Słowa kluczowe

EN

second order; nonlinear; differential equations; oscillation

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2011
• Tom: Vol. 31, no. 3
• Strony: 373--391
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Elabbasy E.M.

autor

Elzeiny Sh.R.

• Mansoura University Department of Mathematics, Faculty of Science Mansoura 35516, Egypt,

Bibliografia

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