Results 21 to 30 of about 203 (148)
Nonoscillation and integral inequalities [PDF]
Bulletin of the American Mathematical Society, 1974 Publisher Summary This chapter discusses nonoscillation and integral inequalities. The chapter presents an assumption involving a system dy/dt = A(t) y where A = (a jk ) n 1 is an n × n real valued matrix and y = (y 1 , …, y n ) is an n column real valued vector.
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Nonoscillation of Linear Difference Systems
Journal of Mathematical Analysis and Applications, 1994 For the system \(\Delta x = A(t)x\) with \(\Delta x(t) = x(t + 1) - x(t)\), similar nonoscillatory conditions are obtained as in the well known case \(x'(t) = A(t)x\), cf. \textit{S. Friedland} [Mem. Am. Math. Soc. 176 (1976; Zbl 0348.34023)]. In particular, the two-dimensional case is considered in detail.
Lafaut, R.N., Muldowney, J.S.
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Nonoscillation of half-linear dynamic equations
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Serena Matucci, Pavel Rehák
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Nonoscillation and eventual disconjugacy [PDF]
Proceedings of the American Mathematical Society, 1977 If every solution of an n th order linear differential equation has only a finite number of zeros in [ 0 ,
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The Oscillatory of Linear Conformable Fractional Differential Equations of Kamenev Type
Discrete Dynamics in Nature and Society, Volume 2020, Issue 1, 2020., 2020 In this paper, the oscillatory of the Kamenev‐type linear conformable fractional differential equations in the form of ptyα+1tα+yα+1t+qtyt=0 is studied, where t ≥ t0 and 0 < α ≤ 1. By employing a generalized Riccati transformation technique and integral average method, we obtain some oscillation criteria for the equation.
Hui Liu, Run Xu, Francisco R. Villatoro
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Electronic Journal of Qualitative Theory of Differential Equations, 2014 We present necessary and sufficient conditions for the nonoscillation of the fundamental solutions to a linear autonomous differential equation with distributed delay. The conditions are proposed in both the analytic and geometric forms.
Tatyana Sabatulina, Vera Malygina
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Some nonoscillation criteria for inclusions [PDF]
Journal of the Australian Mathematical Society, 2006 AbstractNew nonoscillatory criteria are presented for second order differential inclusions. The theory relies on Ky Fan's fixed point theorem for upper semicontinuous multifunctions.
Agarwal, Ravi P. +2 more
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On Constants in Nonoscillation Criteria for Half-Linear Differential Equations
Abstract and Applied Analysis, 2011 We study the half-linear differential equation (r(t)Φ(x′))′+c(t)Φ(x)=0, where Φ(x)=|x|p−2x, p>1. Using the modified Riccati technique, we derive new nonoscillation criteria for this equation.
Simona Fišnarová, Robert Mařík
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Nonoscillations in retarded systems
Journal of Mathematical Analysis and Applications, 2005 Consider the equation \[ x(t)+ \int^0_{-1} d[\nu(\theta)]x(t- r(\theta))= 0,\tag{1} \] where \(x(t)\in \mathbb{R}^n\), \(r\in C([-1,0], \mathbb{R}_+)\), and \(\nu(\theta)\) is a real \(n\times n\) matrix valued function of bounded variation on \([-1, 0]\).
Pinelas, Sandra, Ferreira, José M.
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Antiprincipal solutions at infinity for symplectic systems on time scales
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper we introduce a new concept of antiprincipal solutions at infinity for symplectic systems on time scales. This concept complements the earlier notion of principal solutions at infinity for these systems by the second author and Šepitka ...
Iva Drimalova, Roman Simon Hilscher
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