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Initial and boundary value problems in two and three dimensions [PDF]
, 2010 This thesis: (a) presents the solution of several boundary value problems (BVPs) for the Laplace and the modified Helmholtz equations in the interior of an equilateral triangle; (b) presents the solution of the heat equation in the interior of an ...
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Local estimates for modified Riccati equation in theory of half-linear differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper we study the half-linear differential equation \begin{equation*} \bigl(r(t)\Phi_p(x')\bigr)'+c(t)\Phi_p(x)=0, \end{equation*} where $\Phi_p(x)=|x|^{p-2}x$, $p>1$. Using modified Riccati technique and suitable local estimates for terms
Simona Fišnarová, Robert Marik
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Neumann problem on the semi-line for the Burgers equation [PDF]
, 2011 In this article, the Neumann problem on the semi-line for the Burgers equation is considered. The problem is reduced to a nonlinear integral equation in one independent variable, whose unique solution is proven to exist for small time.
Sommacal, Matteo, de Lillo, Silvana
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Asymptotic formulas for solutions of half-linear Euler-Weber equation
Electronic Journal of Qualitative Theory of Differential Equations, 2008 We establish improved asymptotic formulas for nonoscillatory solutions of the half-linear Euler-Weber type differential equation $$ (\Phi(x'))'+\left[\frac{\gamma_p}{t^p}+\frac{\mu_p}{t^p\log^2 t}\right]\Phi(x)=0, \quad \Phi(x):=|x|^{p-2}x,\quad p>1 ...
Zuzana Pátíková
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Half-linear differential equations with oscillating coefficient
Differential and Integral Equations, 2005 n ...
M. CECCHI, Z. DOSLA, MARINI, MAURO
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Euler Type Half-Linear Differential Equation with Periodic Coefficients
Abstract and Applied Analysis, 2013 We investigate oscillatory properties of the perturbed half-linear Euler differential equation. We show that the results of the recent paper by O. Došlý and H.
Ondřej Došlý, Hana Funková
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Leza Mesiah, Half the Sky, 1980-1986
Flyer for "Announcing the First Women's Bookstore in Dallas: Half the ...
Half the Sky
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Electronic Journal of Qualitative Theory of Differential Equations, 2016 We study the half-linear neutral differential equation \begin{equation*} \Bigl[r(t)\Phi(z'(t))\Bigr]'+c(t)\Phi(x(\sigma(t)))=0, \qquad z(t)=x(t)+b(t)x(\tau(t)), \end{equation*} where $\Phi(t)=|t|^{p-2}t$.
Simona Fišnarová
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A precise asymptotic description of half‐linear differential equations
Mathematische Nachrichten, 2023 AbstractWe study asymptotic behavior of solutions of nonoscillatory second‐order half‐linear differential equations. We give (in some sense optimal) conditions that guarantee generalized regular variation of all solutions, where no sign condition on the potential is assumed.
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An oscillatory half-linear differential equation [PDF]
, 1997 summary:A second-order half-linear ordinary differential equation of the type $$(|y^{\prime}|^{\alpha-1}y^{\prime})^{\prime}+\alpha q(t)|y|^{\alpha-1}y=0 \leqno{{\rm (1)}}$$ is considered on an unbounded interval.
Tanigawa, Tomoyuki +2 more
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