Results 31 to 40 of about 6,618,367 (274)
Local estimates for modified Riccati equation in theory of half-linear differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper we study the half-linear differential equation \begin{equation*} \bigl(r(t)\Phi_p(x')\bigr)'+c(t)\Phi_p(x)=0, \end{equation*} where $\Phi_p(x)=|x|^{p-2}x$, $p>1$. Using modified Riccati technique and suitable local estimates for terms
Simona Fišnarová, Robert Marik
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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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Modified Riccati technique for half-linear differential equations with delay
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We study the half-linear differential equation $$ (r(t)\Phi(x'(t)))'+c(t)\Phi(x(\tau(t)))=0,\quad \Phi(x):=|x|^{p-2}x,\ p>1. $$ We formulate new oscillation criteria for this equation by comparing it with a certain ordinary linear or half-linear ...
Simona Fišnarová, Robert Marik
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On the integral characterization of principal solutions for half-linear ODE
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We discuss a new integral characterization of principal solutions for half-linear differential equations, introduced in the recent paper of S. Fisnarova and R. Marik, Nonlinear Anal. 74 (2011), 6427-6433.
M. Cecchi +3 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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Oscillation and nonoscillation of second-order half-linear differential equations [PDF]
Journal of Mathematical Sciences, 2013 The paper considers the problem of oscillation and non-oscillation of the second order half-linear differential equation \[ ({|{u'(t)}|}^{\alpha-1}u'(t))'+p(t){|{u'(t)}|}^{\alpha-1}u(t)=0, \] where \(\alpha>0\) is a constant and \(p\in C([0,+\infty),[0,+\infty))\) is an integrable function.
Yong Zhou, Chen, X.W.
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Principal solution of half-linear differential equation: Limit and integral characterization
Electronic Journal of Qualitative Theory of Differential Equations, 2008 We investigate integral and limit characterizations of the principal solution of the nonoscillatory half-linear differential equation $$ (r(t)\Phi(x'))'+c(t)\Phi(x)=0,\quad \Phi(x)=|x|^{p-2},\ p>1 $$.
Zuzana Dosla, Ondrej Dosly
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Global extrapolation procedures for linear partial differential equations [PDF]
, 1987 Global extrapolation procedures, in space and time are considered for the numerical Solution of linear partial differential equations. Global extrapolation procedures in time only are reviewed.
Twizell, E H
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New Criteria for Sharp Oscillation of Second-Order Neutral Delay Differential Equations
Mathematics, 2021 In this paper, new oscillation criteria for second-order half-linear neutral delay differential equations are established, using a recently developed method of iteratively improved monotonicity properties of a nonoscillatory solution. Our approach allows
Irena Jadlovská
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Electronic Journal of Qualitative Theory of Differential Equations, 2016 We study the half-linear neutral differential equation \begin{equation*} \Bigl[r(t)\Phi(z'(t))\Bigr]'+c(t)\Phi(x(\sigma(t)))=0, \qquad z(t)=x(t)+b(t)x(\tau(t)), \end{equation*} where $\Phi(t)=|t|^{p-2}t$.
Simona Fišnarová
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