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, 2020
We study the asymptotic behavior of eventually positive solutions of the second-order half-linear differential equation (p(t)|x′|αsgnx′)′+q(t)|x|αsgnx=0,(p(t)\lvert x^{\prime}\rvert^{\alpha}\operatorname{sgn}x^{\prime})^{\prime}+q(% t)\lvert x ...
K. Takaši, J. Manojlovic
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We study the asymptotic behavior of eventually positive solutions of the second-order half-linear differential equation (p(t)|x′|αsgnx′)′+q(t)|x|αsgnx=0,(p(t)\lvert x^{\prime}\rvert^{\alpha}\operatorname{sgn}x^{\prime})^{\prime}+q(% t)\lvert x ...
K. Takaši, J. Manojlovic
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Oscillation result for half‐linear dynamic equations on timescales and its consequences
Mathematical methods in the applied sciences, 2019We study oscillatory properties of half‐linear dynamic equations on timescales. Via the combination of the Riccati technique and an averaging method, we find the domain of oscillation for many equations. The presented main result is not the conversion of
P. Hasil, M. Veselý
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Half-linear oscillation criteria: Perturbation in term involving derivative
Nonlinear Analysis: Theory, Methods & Applications, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Došlý, Ondřej, Fišnarová, Simona
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Mathematica Slovaca, 2019
This article concerns the oscillatory behavior of solutions to second-order half-linear delay differential equations with mixed neutral terms. The authors present new oscillation criteria that improve, extend, and simplify existing ones in the literature.
S. Grace, J. Graef, I. Jadlovská
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This article concerns the oscillatory behavior of solutions to second-order half-linear delay differential equations with mixed neutral terms. The authors present new oscillation criteria that improve, extend, and simplify existing ones in the literature.
S. Grace, J. Graef, I. Jadlovská
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On the Eigenvalues of Half-Linear Boundary Value Problems
Mathematische Nachrichten, 2000Summary: The authors consider the halflinear boundary value problem \[ x''|x'|^{n- 1}+ \lambda^{n\overset{*}+ 1}g(t) x^{\overset{*} n}= 0,\quad x(0)= x(b)= 0, \] with \(x^{\overset{*} n}=|x|^n\text{sgn x}\) and the weight function \(q\) is assumed to change sign. They prove the existence of two sequences \((\lambda^+_k)_{k\in \mathbb{N}}\), \((\lambda^-
Eberhard, Walter, Elbert, Árpád
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Non-oscillation of modified Euler type linear and half-linear differential equations
European Journal of Mathematics, 2022J. Šišoláková
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A sharp oscillation criterion for second-order half-linear advanced differential equations
, 2021G. Chatzarakis, S. Grace, I. Jadlovská
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Poincaré-Perron problem for half-linear ordinary differential equations
Differential and Integral EquationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manabu, Naito, Usami, Hiroyuki
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