Results 41 to 50 of about 6,618,367 (274)
Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]
, 2005 Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
core +6 more sources
Half-linear discrete oscillation theory
Electronic Journal of Qualitative Theory of Differential Equations, 2000 Oscillatory properties of the second order half-linear difference equation $$\Delta(r_k|\Delta y_k|^{\alpha-2}\Delta y_k)+p_k|y_{k+1}|^{\alpha-2}y_{k+1}=0,$$ where $\alpha>1$, are investigated.
Pavel Řehák
doaj +1 more source
A sharp oscillation result for second-order half-linear noncanonical delay differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In the paper, new single-condition criteria for the oscillation of all solutions to a second-order half-linear delay differential equation in noncanonical form are obtained, relaxing a traditionally posed assumption that the delay function is ...
Jozef Džurina, Irena Jadlovská
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Variational method and conjugacy criteria for half-linear differential equations [PDF]
Archivum Mathematicum, 2013 The authors analyse the conjugacy of the second order half-linear differential equation \[ -[r(t)\Phi (x')]'+c(t)\Phi (x) = 0, \quad \Phi (x) = |x|^{p-1} \operatorname {sgn}\,x, p>1 \] in the interval \([-a,a], a\in \mathbb {R}\) (\(r,c\) being continuous functions and \(r(t)>0\) for \(t \in [-a,a]\)).
Chvátal, Martin, Došlý, Ondřej
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Nonoscillatory solutions of planar half-linear differential systems: a Riccati equation approach
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In this paper an attempt is made to depict a clear picture of the overall structure of nonoscillatory solutions of the first order half-linear differential system \begin{equation*} x'-p(t)\varphi_{1/\alpha}(y)=0,\qquad y'+q(t)\varphi_{\alpha}(x)=0, \tag{
Jaroslav Jaroš +2 more
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Sharp results for oscillation of second-order neutral delay differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2023 The aim of the present paper is to continue earlier works by the authors on the oscillation problem of second-order half-linear neutral delay differential equations.
Martin Bohner +2 more
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A remark on power comparison theorem for half-linear differential equations [PDF]
Mathematica Bohemica, 2008 Summary: We consider a half-linear second order differential equation which can be viewed as a perturbation of the so-called Riemann-Weber half-linear differential equation. We present a comparison theorem with respect to the power of the half-linearity in the equation under consideration.
Bognár, Gabriella, Došlý, Ondřej
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Oscillation of half-linear differential equations with mixed type of argument
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper is devoted to the study of the oscillatory behavior of half-linear functional differential equations with deviating argument of the form \begin{equation*}\label{Eabs} \left(r(t)(y'(t))^{\alpha}\right)'=p(t)y^{\alpha}(\tau(t)). \tag{$E$} \end{
Jozef Džurina, Blanka Baculíková
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FEBS Letters, EarlyView.Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley +1 more source
FEBS Letters, EarlyView.CT10 regulator of kinase (CRK) and CRK‐Like (CRKL) are signaling adaptors driving cell adhesion, motility, differentiation, and proliferation. SH2‐domain containing (SH) proteins are enriched in YXXP motifs which when phosphorylated create preferred binding sites for CRK family SH2 domains.
Phoebe M. Cousens +8 more
wiley +1 more source