Results 21 to 30 of about 1,593 (172)
Nonoscillation and Eventual Disconjugacy [PDF]
Proceedings of the American Mathematical Society, 1977 If every solution of an nth order linear differential equation has only a finite number of zeros in [ 0 , ∞ ) [0,\infty ) , it is not generally true that for sufficiently large c , c > 0 c,c > 0 , every solution has at most n
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Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]
Opuscula MathematicaIn this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
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On a computer-aided approach to the computation of Abelian integrals [PDF]
, 2011 An accurate method to compute enclosures of Abelian integrals is developed. This allows for an accurate description of the phase portraits of planar polynomial systems that are perturbations of Hamiltonian systems.
A. Neumaier +27 more
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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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Asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations [PDF]
Opuscula Mathematica, 2014 In this paper, we establish some new criteria on the asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations on time scales.
Martin Bohner +2 more
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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 oscillation and nonoscillation properties of Emden-Fowler difference equations
Open Mathematics, 2009 Zuzana Dosla, Mauro Marini
exaly +2 more sources
Nontrivial solutions of boundary value problems for second order functional differential equations [PDF]
, 2015 In this paper we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work directly in cones, is to utilize the theory of fixed point index on affine ...
Calamai, Alessandro, Infante, Gennaro
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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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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
wiley +1 more source