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Nonoscillation of higher order half-linear differential equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We establish nonoscillation criteria for even order half-linear differential equations. The principal tool we use is the Wirtinger type inequality combined with various perturbation techniques.
Ondrej Dosly, Vojtěch Růžička
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Half-linear differential equations
, 2005 The book presents a systematic and compact treatment of the qualitative theory of half-lineardifferential equations. It contains the most updated and comprehensive material and represents the first attempt to present the results of the rapidly developing
Rehák, Pavel, Dosly, Ondrej
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Asymptotic Behavior of Solutions to Half-Linear q-Difference Equations [PDF]
Abstract and Applied Analysis, 2011 We derive necessary and sufficient conditions for (some or all) positive solutions of the half-linear q-difference equation Dq(Φ(Dqy(t)))+p(t)Φ(y(qt))=0, t∈{qk:k∈N0} with q>1, Φ(u)=|u|α−1sgnu with α>1, to behave like
Pavel Řehák
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Even Order Half-Linear Differential Equations with Regularly Varying Coefficients
Mathematics, 2020 We establish nonoscillation criterion for the even order half-linear differential equation (−1)nfn(t)Φx(n)(n)+∑l=1n(−1)n−lβn−lfn−l(t)Φx(n−l)(n−l)=0, where β0,β1,…,βn−1 are real numbers, n∈N, Φ(s)=sp−1sgns for s∈R, p∈(1,∞) and fn−l is a regularly varying (
Vojtěch Růžička
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Forced oscillation of super-half-linear impulsive differential equations
Computers & Mathematics with Applications, 2007 By using a Picone type formula in comparison with oscillatory unforced half-linear equations, we derive new oscillation criteria for second order forced super-half-linear impulsive differential equations having fixed moments of impulse actions.
Oezbekler, A. +2 more
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An extension of Milloux's theorem to half-linear differential equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2000 A theorem of Milloux (1934) concerning the Sturm-Liouville differential equations is extended to the so-called half-linear differential equations.
Á. Elbert, F. V. Atkinson
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An asymptotic formula for solutions of nonoscillatory half-linear differential equations [PDF]
Acta Mathematica Hungarica, 2011 summary:We establish a Hartman type asymptotic formula for nonoscillatory solutions of the half-linear second order differential equation \[ \left(r(t)\Phi (y^{\prime })\right)^{\prime }+c(t)\Phi (y)=0\,,\quad \Phi (y):=|y|^{p-2}y\,,\ p>1\,. \
Došlý, Ondřej, Řezníčková, Jana
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Summation Characterization of the Recessive Solution for Half-Linear Difference Equations [PDF]
Advances in Difference Equations, 2009 We show that the recessive solution of the second-order half-linear difference equation Δ(rkΦ(Δxk))+ckΦ(xk+1)=0, Φ(x):=|x|p−2x, p>1, where r,c are real-valued sequences, is closely related
Simona Fišnarová +1 more
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Criteria for oscillation of noncanonical superlinear half-linear dynamic equations
Scientific ReportsThis article comes up with criteria to make sure that the solutions to superlinear, half-linear, and noncanonical dynamic equations oscillate in both advanced and delayed cases; these criteria are comparable to the Hille-type and Ohriska-type criteria ...
Taher S. Hassan +6 more
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Oscillation Criteria Enhanced for Advanced Half-Linear Dynamic Equations
Journal of MathematicsThe purpose of this study is to develop new iterative oscillation criteria for second-order half-linear advanced dynamic equations. These findings improve and extend recently established criteria for the same equation by several authors as well as ...
Taher S. Hassan +5 more
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