Results 51 to 60 of about 38,570 (167)
Degenerate exponential integral function and its properties
Arab Journal of Mathematical Sciences, 2022 PurposeIn this paper, the author introduces a degenerate exponential integral function and further studies some of its analytical properties. The new function is a generalization of the classical exponential integral function and the properties established are analogous to those satisfied by the classical function.Design/methodology/approachThe methods
openaire +3 more sources
Journal of Marine Science and EngineeringThe conventional-speed Sliding Mode Controller (SMC) for ship PM propulsion motors, which employs exponential reaching laws and linear sliding surface functions, demonstrates susceptibility to oscillatory phenomena.
Xi Wang +5 more
doaj +1 more source
Sharp Exponential Integrability for Traces of Monotone Sobolev Functions [PDF]
Nagoya Mathematical Journal, 2008 AbstractWe answer a question posed in [12] on exponential integrability of functions of restricted n-energy. We use geometric methods to obtain a sharp exponential integrability result for boundary traces of monotone Sobolev functions defined on the unit ball.
Pankka, Pekka +2 more
openaire +3 more sources
Theoretical Foundations and Mathematical Formalism of the Power-Law Tailed Statistical Distributions
Entropy, 2013 We present the main features of the mathematical theory generated by the √ κ-deformed exponential function expκ(x) = ( 1 + κ2x2 + κx)1/κ, with 0 ≤ κ < 1, developed in the last twelve years, which turns out to be a continuous one parameter deformation of ...
Giorgio Kaniadakis
doaj +1 more source
Concerning some integrals of the generalized exponential-integral function
Computers & Mathematics with Applications, 1992 The main concern of this study consists of generalising expressions applicable to the exponential integral of positive integer order to that of general real order. Associated moments connected with simple powers of the variable of integration are discussed along with the so-called polynomial moments in which such standard polynomials as that of ...
G. Maino, S. Lorenzutta, Cesare Chiccoli
openaire +2 more sources
Decay rates for solutions of semilinear wave equations with a memory condition at the boundary
Electronic Journal of Qualitative Theory of Differential Equations, 2002 In this paper, we study the stability of solutions for semilinear wave equations whoseboundary condition includes a integral that represents the memory effect.
M. L. Santos
doaj +1 more source
Logarithmic singularity subtraction for matrix‐friendly layered medium Green's functions
Electronics LettersA subtraction procedure is proposed to evaluate the logarithmic singularity for matrix‐friendly layered medium Green's functions. In this subtraction procedure, an integral of the Bessel function combined with the exponential function and power function,
Shuo Wang
doaj +1 more source
Explicit Formula of Koszul–Vinberg Characteristic Functions for a Wide Class of Regular Convex Cones
Entropy, 2016 The Koszul–Vinberg characteristic function plays a fundamental role in the theory of convex cones. We give an explicit description of the function and related integral formulas for a new class of convex cones, including homogeneous cones and cones ...
Hideyuki Ishi
doaj +1 more source
Strong and weak admissibility of $L^\infty$ spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2017 For a dynamics with continuous time, we consider the notion of a strong exponential dichotomy with respect to a family of norms and we characterize it in terms of the admissibility of bounded solutions.
Luis Barreira, Claudia Valls
doaj +1 more source
New Subclasses of Bi-Univalent Functions Associated with Exponential Functions and Fibonacci Numbers
مجلة بغداد للعلومLewin discussed the class of bi-univalent functions and obtained the bound for the second coefficient, Sakar and Wanas defined two new subclasses of bi-univalent functions and obtained upper bounds for the elementary coefficients |a2| and |a3| for ...
Majd Ayash +3 more
doaj +1 more source