Results 21 to 30 of about 2,297,645 (316)

CENTER PROBLEM FOR THIRD-ORDER ODEs [PDF]

International Journal of Bifurcation and Chaos, 2013
We obtain necessary and sufficient conditions for the existence of a center on a local center manifold for three 4-parameter families of quadratic systems on ℝ3. We also give a positive answer to an open question posed in [Dias & Mello, 2010] related to similar systems.
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Oscillation Conditions for Third-Order Delay Differential Equations with Neutral-Type Term

Mathematics
In this work, we adopted an approach similar to that of Chatzarakis’, by transforming the oscillation analysis of third-order differential equations into an equivalent first-order problem.
Rongrong Guo, Haifeng Tian
doaj   +1 more source

Oscillation theorems for certain third order nonlinear delay dynamic equations on time scales

Electronic Journal of Qualitative Theory of Differential Equations, 2011
In this paper, we establish some new oscillation criteria for the third order nonlinear delay dynamic equations $$\left(b(t)\left([a(t)(x^\Delta(t))^{\alpha_1}]^\Delta\right)^{\alpha_2}\right)^\Delta+q(t)x^{\alpha_3}(\tau(t))=0$$ on a time scale $\mathbb{
Yibing Sun, Zhenlai Han, Ying Sun, Yuanyuan Pan   +3 more
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Stability and Boundedness of Solutions of Nonlinear Third Order Differential Equations with Bounded Delay

Journal of Mathematical Sciences and Modelling, 2022
In this paper, we investigate the boundedness and uniformly asymptotically stability of the solutions to a certain third order non-autonomous differential equations with bounded delay.
Abdulhamit Özdemir, Erdal Korkmaz
doaj   +1 more source

Third order matching is decidable

Annals of Pure and Applied Logic, 1994
The higher order matching problem is the problem of determining whether a term is an instance of another in the simply typed $λ$-calculus, i.e. to solve the equation a = b where a and b are simply typed $λ$-terms and b is ground. The decidability of this problem is still open.
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Fučı́k Spectrum for a Third Order Equation

Journal of Differential Equations, 1996
The Fučík spectrum of the third order boundary value problem \[ y''' + \mu y^+ - \nu y^- = 0,\;y(0) = y'(0) = y(1) = 0 \tag{1} \] is investigated, i.e. the set of all \((\mu, \nu) \in \mathbb{R}^2\) where (1) has a nontrivial solution \(y\). The eigenvalues of (1) are the numbers \(\lambda\) for which \((\lambda, \lambda)\) belongs to the Fučík ...
GAUDENZI, Marcellino, PATRICH HABETS
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Oscillation criteria for third order delay nonlinear differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2012
The purpose of this paper is to give oscillation criteria for the third order delay nonlinear differential equation \begin{equation*} \lbrack a_{2}(t)\{(a_{1}(t)(x^{\prime }(t))^{\alpha _{1}})^{\prime}\}^{\alpha _{2}}]^{\prime }+q(t)f(x(g(t)))=0, \end ...
E. Elabbasy, Taher Hassan, B. M. Elmatary   +2 more
doaj   +1 more source

Improved Hille Oscillation Criteria for Nonlinear Functional Dynamic Equations of Third-Order

Mathematics, 2022
This paper aims to improve Hille oscillation criteria for the third-order functional dynamic equation p2(ξ)ϕγ2p1ξϕγ1yΔ(ξ)ΔΔ+a(ξ)ϕγy(g(ξ))=0, on an above-unbounded time scale T. The obtained results improve related contributions reported in the literature
Taher S. Hassan, Rabie A. Ramadan, Zainab Alsheekhhussain, Ahmed Y. Khedr, Amir Abdel Menaem, Ismoil Odinaev   +5 more
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On third order rotatability [PDF]

Metrika, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Draper, Norman R, Pukelsheim, Friedrich
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Third-order aberrations of pseudophakic eyes

, 1989
The aberrations of pseudophakic eyes were analysed by third-order theory assuming thin intraocular lenses. Third-order aberrations with spherical surfaced lenses are quadratic functions of lens shape.
Atchison, David A.
core   +1 more source