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Oscillation criteria for third order nonlinear delay dynamic equations on time scales

100%

Han Z., Li T., Sun S., Cao F.

Annales Polonici Mathematici

2010

tom 99

nr 2

143-156

By means of Riccati transformation technique, we establish some new oscillation criteria for third-order nonlinear delay dynamic equations $((x^{ΔΔ}(t))^γ)^Δ + p(t)x^γ(τ(t)) = 0$ on a time scale 𝕋; here γ > 0 is a quotient of odd positive integers and p a real-valued positive rd-continuous function defined on 𝕋. Our results not only extend and improve the results of T. S. Hassan [Math. Comput. Modelling 49 (2009)] but also unify the results on oscillation of third-order delay differential equations and third-order delay difference equations.

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Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions

100%

Zada A., Yar M., Li T.

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

2018

tom 17

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

2 Li T.

1 Cao F.

1 Han Z.

1 Sun S.

1 Yar M.

1 Zada A.

1 2018

1 2010

Wyniki wyszukiwania

Oscillation criteria for third order nonlinear delay dynamic equations on time scales

Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions