Results 11 to 20 of about 6,725,901 (296)
On the integral characterization of principal solutions for half-linear ODE [PDF]
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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Non-oscillation of half-linear differential equations with periodic coefficients [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We consider half-linear Euler type differential equations with general periodic coefficients. It is well-known that these equations are conditionally oscillatory, i.e., there exists a border value given by their coefficients which separates oscillatory ...
Petr Hasil, Michal Veselý
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Criteria for oscillation of noncanonical superlinear half-linear dynamic equations [PDF]
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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Hille-Nehari type oscillation and nonoscillation criteria for linear and half-linear differential equations [PDF]
MATEC Web of Conferences, 2019 Differential equations attract considerable attention in many applications. In particular, it was found out that half-linear differential equations behave in many aspects very similar to that in linear case. The aim of this contribution is to investigate
Rˇ eznícˇková Jana
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Hille–Nehari type criteria and conditionally oscillatory half-linear differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We study perturbations of the generalized conditionally oscillatory half-linear equation of the Riemann–Weber type. We formulate new oscillation and nonoscillation criteria for this equation and find a perturbation such that the perturbed Riemann– Weber ...
Simona Fisnarová, Z. Pátíková
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Half-linear Euler differential equation and its perturbations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We investigate oscillatory properties of perturbed half-linear Euler differential equation. We give an alternative proof (simpler and more straightforward) of the main result of [O. Došlý, H. Funková, Abstr. Appl. Anal. 2012, Art. ID 738472] and we prove
Ondrej Dosly
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Euler Type Half-Linear Differential Equation with Periodic Coefficients [PDF]
Abstract and Applied Analysis, 2013 We investigate oscillatory properties of the perturbed half-linear Euler differential equation. We show that the results of the recent paper by O. Došlý and H.
Ondřej Došlý, Hana Funková
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Methods in half-linear asymptotic theory
Electronic Journal of Differential Equations, 2016 We study the asymptotic behavior of eventually positive solutions of the second-order half-linear differential equation $$ (r(t)|y'|^{\alpha-1}\hbox{sgn} y')'=p(t)|y|^{\alpha-1}\hbox{sgn} y, $$ where r(t) and p(t) are positive continuous functions ...
Pavel Rehak
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Nonoscillatory half-linear difference equations and recessive solutions
Advances in Difference Equations, 2005 Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, we prove that recessive solutions are the ...
Došlá Zuzana +2 more
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On Constants in Nonoscillation Criteria for Half-Linear Differential Equations [PDF]
Abstract and Applied Analysis, 2011 We study the half-linear differential equation (r(t)Φ(x′))′+c(t)Φ(x)=0, where Φ(x)=|x|p−2x, p>1. Using the modified Riccati technique, we derive new nonoscillation criteria for this equation.
Simona Fišnarová, Robert Mařík
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