Results 61 to 70 of about 29,180 (228)
Mechanistic Slumber vs. Statistical Insomnia: The early phase of Boltzmann's H-theorem (1868-1877) [PDF]
, 2011 An intricate, long, and occasionally heated debate surrounds Boltzmann's outstanding works on the H-theorem (1872) and the combinatorial interpretation of the second law (1877).
Badino, Massimiliano, Badino, M.
core
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley +1 more source
Composition of Fractional Integral and Derivative Operators: Summarised in Tables
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
wiley +1 more source
Journal of Function SpacesIn this article, we introduce a notion of controlled orthogonal δ-metric-type spaces with an example. Further, we prove a contraction theorem and a generalized fixed point theorem in controlled orthogonal δ-metric-type spaces.
Benitha Wises Samuel +4 more
doaj +1 more source
On fractional Cauchy-type problems containing Hilfer's derivative
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In the paper we study fractional systems with generalized Riemann-Liouville derivatives. A theorem on the existence and uniqueness of a solution to a fractional nonlinear ordinary Cauchy problem is proved.
Rafał Kamocki, Cezary Obczyński
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Harmonic Liouville Theorem for Exterior Domains
, 2001 We give a very simple function theoretic proof to a Liouville type theorem for harmonic functions defined on exterior domains obtained and proved in a convexity theoretic method by F. Cammaroto and A. Chinnı̀.
Tada, Toshimasa, Nakai, Mitsuru
core +1 more source
Existence of Positive Solutions for a Class of m-Point Boundary Value Problems
Advances in Difference Equations, 2008 This paper investigates the existence of positive solutions for a class of second-order singular m-point Sturm-Liouville-type boundary value problems by using fixed point theorem in cones.
Weigao Ge, Xuemei Zhang
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A Gradient Bound for the Allen-Cahn Equation Under Almost Ricci Solitons [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we consider positive solutions for the Allen-Cahn equation\begin{equation*}\Delta u+\left(1-u^{2}\right)u=0,\end{equation*}on an almost Ricci soliton without a boundary. Firstly, using volume comparison Theorem and Sobolev inequality, we
Sakineh Hajiaghasi, Shahroud Azami
doaj +1 more source
Boundary Value Problems, 2020 In this paper, we study the existence of multiple positive solutions for boundary value problems of high-order Riemann–Liouville fractional differential equations involving the p-Laplacian operator.
Bibo Zhou +3 more
doaj +1 more source
Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps [PDF]
Analysis and Geometry in Metric Spaces, 2014 AbstractThis paper is a study of harmonic maps fromRiemannian polyhedra to locally non-positively curvedgeodesic spaces in the sense of Alexandrov. We prove Liouville-type theorems for subharmonic functionsand harmonic maps under two different assumptions on the source space.
openaire +3 more sources