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Sturmian comparison and oscillation theorems for quasilinear elliptic equations with mixed nonlinearities via Picone-type inequalityapplication/pdf A Picone-type inequality is established for quasilinear elliptic operators with mixed nonlinearities, and Sturmian comparison and oscillation theorems for quasilinear elliptic equations are derived by using the Picone-type inequality.
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A comparison theorem for Sturmian oscillation numbers of linear systems of second order
Duke Mathematical Journal, 1958 openaire +2 more sources
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Sturmian comparison theorems for completely controllable linear Hamiltonian systems in singular case
Journal of Mathematical Analysis and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roman Simon Hilscher, Peter Sepitka
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Nonlinear Analysis: Theory, Methods & Applications, 2000
The well-known Picone's identity plays an important role in the study of qualitative properties of solutions of the second-order linear homogeneous differential equations. It has been recently generalized to the half-linear differential operators \[ \begin{aligned} l_\alpha[y]&=(r(t)\left|y'\right|^{\alpha -1}y')'+q(t)\left|y\right|^{\alpha -1}y,\\ L_{\
Takasi Kusano
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The well-known Picone's identity plays an important role in the study of qualitative properties of solutions of the second-order linear homogeneous differential equations. It has been recently generalized to the half-linear differential operators \[ \begin{aligned} l_\alpha[y]&=(r(t)\left|y'\right|^{\alpha -1}y')'+q(t)\left|y\right|^{\alpha -1}y,\\ L_{\
Takasi Kusano
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Singular Sturmian comparison theorems for linear Hamiltonian systems
Journal of Differential Equations, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Šepitka, Peter, Šimon Hilscher, Roman
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Sturmian comparison theorem for half-linear second-order differential equations
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1995Let φ:ℝ→ℝ be defined by φ(s) = |s|p−2s, with p > 1 a fixed number. We extend Sturm Comparison Theorem of the linear differential equationto the nonlinear differential equationby using the Wirtinger inequality. A Lyapunov inequality and some oscillation criteria of (E) are also given.
Li, Horng Jaan, Yeh, Cheh Chih
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Sturmian comparison and oscillation theorems for a class of half-linear elliptic equations
Nonlinear Analysis: Theory, Methods & Applications, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A note on sturmian comparison theorems for linear partial differential equations of second order
Applicable Analysis, 1985We show that by a modification of Sturm's classical method it is possible to obtain results for special operators of mixed type as well as for nonhomogeneous ...
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Generalized focal points and local Sturmian theory for linear Hamiltonian systems
Discrete and Continuous Dynamical Systems, 2023Roman Simon Hilscher, Peter Sepitka
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A Sturmian theorem for recessive solutions of linear Hamiltonian difference systems
Applied Mathematics Letters, 1999Martin Bohner, O Došlý
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