De la Vallée Poussin type inequality and eigenvalue problem for generalized half-linear differential equation [PDF]
, 2014 summary:We study the generalized half-linear second order differential equation via the associated Riccati type differential equation and Prüfer transformation.
Došlý, Ondřej, Báňa, Libor
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Oscillatory behavior of the second order noncanonical differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2019 Establishing monotonical properties of nonoscillatory solutions we introduce new oscillatory criteria for the second order noncanonical differential equation with delay/advanced argument \begin{equation*} (r(t)y'(t))'+p(t)y(\tau(t))=0. \end{equation*}
Blanka Baculíková
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Variational method and conjugacy criteria for half-linear differential equations [PDF]
, 2013 summary:We establish new conjugacy criteria for half-linear second order differential equations. These criteria are based on the relationship between conjugacy of the investigated equation and nonpositivity of the associated energy ...
Chvátal, Martin +3 more
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An oscillatory half-linear differential equation [PDF]
, 1997 summary:A second-order half-linear ordinary differential equation of the type $$(|y^{\prime}|^{\alpha-1}y^{\prime})^{\prime}+\alpha q(t)|y|^{\alpha-1}y=0 \leqno{{\rm (1)}}$$ is considered on an unbounded interval.
Tanigawa, Tomoyuki +2 more
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Delay-dependent exponential stability of neutral stochastic delay systems [PDF]
, 2009 This paper studies stability of neutral stochastic delay systems by linear matrix inequality (LMI) approach. Delay dependent criterion for exponential stability is presented and numerical examples are conducted to verify the effectiveness of the proposed
Mao, X., Huang, L.
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A remark on power comparison theorem for half-linear differential equations [PDF]
, 2005 summary:We consider the half-linear second order differential equation which is viewed as a perturbation of the so-called Riemann-Weber half-linear differential equation.
Došlý, Ondřej +2 more
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Analysis and numerical solution of a non-standard non-linear integro-differential boundary value problem [PDF]
, 2011 The aim of this thesis is the analytical study and the development of a numerical method to solve a non-linear, integro-differential boundary value problem on the half line which is representative of a class of non-standard integral equations where the ...
Basile, Mariateresa
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Collocation schemes for periodic solutions of neutral delay differential equations [PDF]
, 2005 We introduce two collocation schemes for the computation of periodic solutions of neutral delay differential equations (NDDEs): one based on a direct discretisation of the underlying NDDE, and one based on a discretisation of a related delay differential
Wilson, RE +8 more
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Remarks on the existence of nonoscillatory solutions of half-linear ordinary differential equations, II [PDF]
, 2021 summary:We consider the half-linear differential equation of the form \[ (p(t)|x^{\prime }|^{\alpha }\mathrm{sgn}\,x^{\prime })^{\prime } + q(t)|x|^{\alpha }\mathrm{sgn}\,x = 0\,, \quad t \ge t_{0} \,, \] under the assumption that $p(t)^{-1/\alpha }$ is ...
Naito, Manabu
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Oscillation results for second order half-linear neutral delay differential equations with "maxima"
Tamkang Journal of Mathematics, 2017 In this paper, we present some oscillation criteria for the second order half-linear neutral delay differential equation with ``maxima" of the from\begin{equation*}\left(r(t)((x(t)+p(t)x(\tau(t)))')^{\alpha}\right)'+q(t) \max_{[\sigma(t),\;t]}x^{\alpha}(s)=0\end{equation*}under the condition $\int_{t_0}^{\infty}\frac{1}{r^{1/ \alpha}(t)}dt<\infty ...
Selvarangam Srinivasan +2 more
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