Half-linear differential equations with oscillating coefficient
Differential and Integral Equations, 2005 n ...
M. CECCHI, Z. DOSLA, MARINI, MAURO
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Conjugacy and principal solution of generalized half-linear second order differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We study the generalized half-linear second order differential equation and the associated Riccati type differential equation. We introduce the concepts of minimal and principal solutions of these equations and using these concepts we prove a new ...
Ondrej Dosly, J. Reznickova
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A precise asymptotic description of half‐linear differential equations
Mathematische Nachrichten, 2023 AbstractWe study asymptotic behavior of solutions of nonoscillatory second‐order half‐linear differential equations. We give (in some sense optimal) conditions that guarantee generalized regular variation of all solutions, where no sign condition on the potential is assumed.
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The Bohl spectrum for nonautonomous differential equations [PDF]
, 2016 We develop the Bohl spectrum for nonautonomous linear differential equation on a half line, which is a spectral concept that lies between the Lyapunov and the Sacker--Sell spectrum.
Doan, Thai Son +2 more
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On Some Novel Results About the Behavior of Some Numerical Solutions of a Neutrosophic Generalized Half – Linear Second Order Differential Equation [PDF]
Neutrosophic Sets and SystemsThe generalized neutrosophic differential equation is a differential equation with neutrosophic real variable x + yI instead of classical real variable x. This research is devoted to studying the oscillation of generalized neutrosophic half linear second
Norah Mousa Alrayes +5 more
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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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On real projective connections, V.I. Smirnov's approach, and black hole type solutions of the Liouville equation [PDF]
, 2015 We consider real projective connections on Riemann surfaces and corresponding solutions of the Liouville equation. It is shown that these solutions have singularities of special type (of a black hole type) on a finite number of simple analytical contours.
Takhtajan, Leon A
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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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Solutions of Riemann–Weber type half-linear differential equation [PDF]
Archivum Mathematicum, 2017 The author considers the Riemann-Weber type half-linear equation of the form \[(r(t)\Phi(x'))'+\left(c(t)+\frac{\mu}{h^p(t)(\int^t R^{-1}(s)ds)^2R(t)}\right)\Phi(x)=0,\] which is understood as a perturbation of the equation \((r(t)\Phi(x'))'+c(t)\Phi(x)=0\).
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The Blaschke conjecture and great circle fibrations of spheres [PDF]
, 2003 We construct an explicit diffeomorphism taking any fibration of a sphere by great circles into the Hopf fibration, using elementary geometry--indeed the diffeomorphism is a local (differential) invariant, algebraic in derivatives.Comment: 61 pages, 8 ...
Benjamin Mckay, Benjamin Mckay
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