Results 21 to 30 of about 158,960 (276)

Singularities of improper affine spheres and surfaces of constant Gaussian curvature [PDF]

, 2005
We study the equation for improper (parabolic) affine spheres from the view point of contact geometry and provide the generic classification of singularities appearing in geometric solutions to the equation as well as their duals.
Ishikawa, Go-o, Machida, Yoshinori
core   +3 more sources

General Master Theorems of Integrals with Applications

Mathematics, 2022
Many formulas of improper integrals are shown every day and need to be solved in different areas of science and engineering. Some of them can be solved, and others require approximate solutions or computer software.
Mohammad Abu-Ghuwaleh, Rania Saadeh, Ahmad Qazza   +2 more
doaj   +1 more source

Posterior propriety in Bayesian extreme value analyses using reference priors [PDF]

, 2015
The Generalized Pareto (GP) and Generalized extreme value (GEV) distributions play an important role in extreme value analyses, as models for threshold excesses and block maxima respectively. For each of these distributions we consider Bayesian inference
Attalides, Nicolas, Northrop, Paul J.
core   +2 more sources

A New Expression for the Coulomb Potential Corresponding to the Product of Two Exponential Functions Based on the Properties of the Integral Representations of the Bessel Functions

Trends in Computational and Applied Mathematics, 2023
The calculation of the Coulomb Potential corresponding to the product of two Exponential Type Functions, inherently has numerical challenges that must be resolved.
C. J. Alturria Lanzardo, J. E. Pérez, M. L. Tardivo, G. Fraschetti, J. C. Cesco   +4 more
doaj   +1 more source

Alternative Proof of Frullani's Theorem and Applications in Evaluating Frullani Integrals

PUP Journal of Science and Technology
This article provides an alternative proof for the Frullani integral formula using an approach different from the existing one. This alternative proof gave us a novel method for evaluating certain improper integrals of Frullani type.
Paul Vincent Botin, Michael Sta. Brigida, Edwin Balila   +2 more
doaj   +1 more source

Multiple positive solutions of fractional differential equations with improper integral boundary conditions on the half-line

Boundary Value Problems, 2023
This paper investigates the existence of positive solutions for a class of fractional boundary value problems involving an improper integral and the infinite-point on the half-line by making use of properties of the Green function and Avery–Peterson ...
Ning Wang, Zongfu Zhou
doaj   +1 more source

Rigorous Real-Time Feynman Path Integral for Vector Potentials

, 1999
we will show the existence and uniqueness of a real-time, time-sliced Feynman path integral for quantum systems with vector potential. Our formulation of the path integral will be derived on the $L^2$ transition probability amplitude via improper Riemann
Albeverio S, Albeverio S, Albeverio S, Amrein W O, Blank J, Cameron R, Cameron R, Chernoff P, Cycon H, Feynman R, Glimm J, Kato T, Ken Loo, Kleinert H, Leinfelder H, Nelson E, Reed M, Schulman L, Simon B   +18 more
core   +2 more sources

On the Existence and Stability of Bounded Solutions for Abstract Dynamic Equations on Time Scales

International Journal of Differential Equations, 2023
In this article we study the existence and stability of bounded solutions for semilinear abstract dynamic equations on time scales in Banach spaces. In order to do so, we use the definition of the Riemann delta-integral to prove a result about closed ...
Cosme Duque, Hugo Leiva, Rodolfo Gallo, Abdessamad Tridane   +3 more
doaj   +1 more source

Fractional L\'{e}vy-driven Ornstein--Uhlenbeck processes and stochastic differential equations

, 2011
Using Riemann-Stieltjes methods for integrators of bounded $p$-variation we define a pathwise integral driven by a fractional L\'{e}vy process (FLP). To explicitly solve general fractional stochastic differential equations (SDEs) we introduce an Ornstein-
Fink, Holger, Klüppelberg, Claudia
core   +1 more source

Evaluating Some Improper Sine and Cosine Integrals

Axioms
We consider four infinite collections of improper integrals involving the sine and cosine functions and provide explicit values for the integrals in each of the collections.
Russell A. Gordon
doaj   +1 more source