Results 11 to 20 of about 7,995 (254)
Growth and oscillation of some polynomials generated by solutions of complex differential equations [PDF]
Opuscula Mathematica, 2015 In this paper, we continue the study of some properties on the growth and oscillation of solutions of linear differential equations with entire coefficients of the type \[f^{\prime \prime }+A(z) f^{\prime }+B(z) f=0\] and \[f^{\left( k\right) }+A_{k-2}(z)
Zinelâabidine Latreuch +1 more
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On exponents of convergence of subsequences [PDF]
Czechoslovak Mathematical Journal, 1984 Let \(A=\{a_ n\}^{\infty}_{n=1}\) be a non-decreasing sequence of positive real numbers with \(a_ n\to +\infty\) (n\(\to \infty)\). It is well known that there is a unique number \(\lambda =\lambda (A)\in [0,+\infty]\) (so-called exponent of convergence of A) such that the series \(\sum^{\infty}_{n=1}a_ n^{-t}\) converges for \(t\in R\), \(t>\lambda ...
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On the exponent of convergence of Engel series
, 2021 15 ...
Shang, Lei, Wu, Min
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Stochastic stability and the moment Lyapunov exponent for a gyro-pendulum system driven by a bounded noise [PDF]
Mechanical Sciences, 2023 The stochastic stability of a gyro-pendulum system parametrically excited by a real noise is investigated by the moment Lyapunov exponent in the paper. Using the spherical polar and non-singular linear stochastic transformations and combining these with ...
S. Li, J. Lv
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, we investigate the hyper-exponent of convergence of zeros of $f^{(j)}(z)-\varphi(z) (j\in N)$, where $f$ is a solution of second or $k(\geq2)$ order linear differential equation, $\varphi(z)\not\equiv0$ is an entire function satisfying ...
Jin Tu, Hong-Yan Xu, Cui-Yan Zhang
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Relaxation to Fixed Points in the Logistic and Cubic Maps: Analytical and Numerical Investigation
Entropy, 2013 Convergence to a period one fixed point is investigated for both logistic and cubic maps. For the logistic map the relaxation to the fixed point is considered near a transcritical bifurcation while for the cubic map it is near a pitchfork bifurcation. We
Edson D. Leonel +2 more
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On Complex Oscillation Property of Solutions for Higher-Order Periodic Differential Equations
Journal of Inequalities and Applications, 2007 We investigate properties of the zeros of solutions for higher-order periodic differential equations, and prove that under certain hypotheses, the convergence exponent of zeros of the product of two linearly independent solutions is infinite.
Shi-An Gao, Zong-Xuan Chen
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General Bahr-Esseen inequalities and their applications
Journal of Inequalities and Applications, 2017 We study the Bahr-Esseen inequality. We show that the Bahr-Esseen inequality holds with exponent p if it holds with exponent q > p $q>p$ for the truncated and centered random variables.
István Fazekas, Sándor Pecsora
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Asymptotic Analysis of Low Energy Extremals with Γ-Convergence in Variable Exponent Lebesgue Spaces
Fractal and Fractional, 2022 In many physical models, internal energy will run out without external energy sources. Therefore, finding optimal energy sources and studying their behavior are essential issues.
Adil Siddique +3 more
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Region of Convergence of Dirichlet Series with Complex Exponents [PDF]
Proceedings of the American Mathematical Society, 1956 the series converges absolutely. In this paper we give a simpler definition (5) of the maximal region, a generalization (4) of the CauchyHadamard formula to give the distance from an interior point to the frontier of this region, and, as an application of this formula, a generalization (Theorem 2) of Hille's result.
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