Results 81 to 90 of about 80,701 (242)

A Note on Some Novel Laplace and Stieltjes Transforms Associated with the Relaxation Modulus of the Andrade Model

Axioms
In the framework of linear viscoelasticity, the authors have previously calculated a novel inverse Laplace transform involving the Mittag–Leffler function in order to calculate the relaxation modulus in the Andrade model. Here, we generalize this result,
Juan Luis González-Santander, Alexander Apelblat   +1 more
doaj   +1 more source

Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval

Boundary Value Problems, 2018
By means of a Laplace transform and its inverse transform, we obtain a correct equivalent integral equation for some kind of nonlocal abstract differential equations (fractional order) on the right half-axis.
Zhanmei Lv, Yanping Gong, Yi Chen
doaj   +1 more source

Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo, Delfina Gómez, Maria‐Eugenia Pérez‐Martínez   +2 more
wiley   +1 more source

Exact Solutions of Linear Multiple Delay Partial Differential Equations

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops an analytical framework for linear differential equations with multiple discrete delays. A new function, referred to as the multiple‐delay exponential function, is introduced, and some of its fundamental properties are established.
Stuart‐James M. Burney
wiley   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Theorems on association of variables in multidimensional Laplace transforms

International Journal of Mathematics and Mathematical Sciences, 1989
The inverse of the multidimensional Laplace transform is often obtained by the method of association of variables. In this paper, some basic theorems are developed for evaluating the associated transform of certain types of transformed functions.
Joyati Debnath, Narayan Chandra Debnath
doaj   +1 more source

From the Modeling of Experiments to the Ab Initio Prediction of Rate Constants: Statistical Rate Theory for a Quantitative Understanding of Gas-Phase Ion Chemistry. [PDF]

Chemphyschem
For directly comparing experimental results on gas‐phase ion reactions with the predictions from quantum chemical calculations, the latter must first be converted into rate constants. This review addresses the question of whether current methods of statistical rate theory can accomplish this task reliably. Statistical rate theory has long been used for
Auth T, Koszinowski K.
europepmc   +2 more sources

Physiological Interpretation of the Lactate to Pyruvate AUC Ratio for Hyperpolarized [1‐13C]‐Pyruvate Studies

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To explore the relationship between potentially rate‐limiting steps in lactate production and the lactate area‐under‐the‐curve (AUC) to pyruvate AUC ratio for analysis of hyperpolarized (HP) [1‐13C]‐pyruvate data. Theory and Methods Simplifying assumptions are introduced to a pharmacokinetic (PK) model with three physical compartments ...
Ryan T. Boyce, Collin J. Harlan, Qing Wang, Christopher M. Walker, Stephen Y. Lai, Matthew E. Merritt, James A. Bankson   +6 more
wiley   +1 more source

Application of Two-Parameter Laplace-Type R-transform to Solve Linear Ordinary Differential Equations

Journal of Applied Sciences and Environmental Management
There are thirty one-parameter Laplace-type integral transforms, however, two-parameter Laplace-type integral transforms are few. Hence, the objective in the paper is to introduce and apply a new two-parameter Laplace-type integral transform, called the
E. E. Iyeme, O. R. Okpo, R. I. Ajaereh, G. I. Ogban   +3 more
doaj  

Simultaneous double transformations of functions depending on space and time

, 2013
It is shown that performing simultaneously two transformations on functions of space and time (for instance a Fourier transform on the space variable and a Laplace transform on the time variable) can be easier than performing them one after the other ...
Rossetto, Vincent
core   +1 more source