Results 41 to 50 of about 735,542 (308)
Conjugacy and principal solution of generalized half-linear second order differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We study the generalized half-linear second order differential equation and the associated Riccati type differential equation. We introduce the concepts of minimal and principal solutions of these equations and using these concepts we prove a new ...
Ondrej Dosly, J. Reznickova
doaj +1 more source
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.
openaire +2 more sources
On Some Novel Results About the Behavior of Some Numerical Solutions of a Neutrosophic Generalized Half – Linear Second Order Differential Equation [PDF]
Neutrosophic Sets and SystemsThe generalized neutrosophic differential equation is a differential equation with neutrosophic real variable x + yI instead of classical real variable x. This research is devoted to studying the oscillation of generalized neutrosophic half linear second
Norah Mousa Alrayes +5 more
doaj +1 more source
On the integral characterization of principal solutions for half-linear ODE
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
doaj +1 more source
The Dirichlet-to-Neumann map for the elliptic sine Gordon [PDF]
, 2012 We analyse the Dirichlet problem for the elliptic sine Gordon equation in the upper half plane. We express the solution $q(x,y)$ in terms of a Riemann-Hilbert problem whose jump matrix is uniquely defined by a certain function $b(\la)$, $\la\in\R ...
Fokas, A. S., Pelloni, Beatrice
core +1 more source
, 2013 This paper reuses an idea first devised by Kwong to obtain upper bounds for the distance between a zero and an adjacent critical point of a solution of the second order half-linear differential equation , with , , and real such that . It also compares it
P. Almenar, L. Jódar
semanticscholar +1 more source
Perfectly invisible $\mathcal{PT}$-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry [PDF]
, 2017 We investigate a special class of the $\mathcal{PT}$-symmetric quantum models being perfectly invisible zero-gap systems with a unique bound state at the very edge of continuous spectrum of scattering states.
Guilarte, Juan Mateos +1 more
core +4 more sources
, 2012 This paper presents two methods to obtain upper bounds for the distance between a zero and an adjacent critical point of a solution of the second-order half-linear differential equation , with and piecewise continuous and , and being real such that .
P. Almenar, L. Jódar
semanticscholar +1 more source
New Criteria for Sharp Oscillation of Second-Order Neutral Delay Differential Equations
Mathematics, 2021 In this paper, new oscillation criteria for second-order half-linear neutral delay differential equations are established, using a recently developed method of iteratively improved monotonicity properties of a nonoscillatory solution. Our approach allows
Irena Jadlovská
doaj +1 more source
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