Results 11 to 20 of about 4,380,008 (160)

d’Alembert’s functional equation on groups

, 1979
Group representation theory is used to solve a functional equation of the D’Alembert type on groups.
R. Penney, A. Rukhin
semanticscholar   +2 more sources

Asymptotic behaviour of the solution of a functional-differential equation [PDF]

, 1984
The asymptotic behaviour as t→∞ of the solution of the functional- differential equation y'(t) = -y(t/k), with y(0) = 1 and k > 1 , is derived from an integral representation by the method of steepest descents.
Tripp, CE
core   +6 more sources

d’Alembert functional equations in distributions

, 1992
In this paper we shall develop a method to define and solve the D’Alembert functional equation in distributions. We shall also show that for regular distributions (i.e., locally integrable functions) the distributional solution reduces to the classical ...
E. Deeba, E. L. Koh
semanticscholar   +2 more sources

The parallelogram law in the works of d’Alembert and Kant [PDF]

, 2012
We compare two approaches given to the parallelogram law as a fundamental notion in eighteenth century mechanics. The authors we study are Kant and d’Alembert and we use the context created by Newton’s Principia as our point of departure.
Martínez Adame, Carmen, Martínez-Adame, Carmen, Carmen Martinez-Adame   +2 more
core   +1 more source

Stability of a generalized trigonometric functional equation [PDF]

, 2010
The stability of the functional equation F(x+y)−G(x−y)=2H(x)K(y) over the domain of an abelian group G and the range of the complex field is investigated.
Tongsomporn, Janyarak, Hengkrawit, Charinthip, Udomkavanich, Patanee, Laohakosol, Vichian   +3 more
core   +1 more source

A generalization of d’Alembert’s functional equation

, 1992
Recent investigations in the foundations of physics have shown that a quantum mechanical influence function satisfies a generalized d’Alembert functional equation. The present paper derives the solutions for this equation on a topological linear space.
Stanley Gudder
core   +1 more source

Uniqueness of the Canonical Reciprocal Cost

Mathematics
We study a rigidity problem for functions F:R>0→R≥0 that penalize deviation of a positive ratio from equilibrium x=1. Assuming (i) a d’Alembert-type composition law on R>0, and (ii) a single quadratic calibration at the identity (in logarithmic ...
Jonathan Washburn, Milan Zlatanović
doaj   +1 more source

Human‐Induced Vibration of Long‐Span Multi‐Layer Composite Beams—Analytical Calculation Method

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 8, August 2026.
ABSTRACT The finite element method (FEM) provides a general framework for analyzing virtually all types of structures under various loading conditions. Nevertheless, in certain situations, designers may identify that the structural system exhibits predominantly beam‐like behavior, allowing the use of analytical theories.
Markku Heinisuo, Sami Pajunen, Kristo Mela   +2 more
wiley   +1 more source

Analytical and numerical investigation of mixed-type functional differential equations [PDF]

, 2009
NOTICE: this is the author’s version of a work that was accepted for publication in Journal of computational and applied mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and ...
Ford, Neville J., Lima, Pedro M., Lumb, Patricia M., Teodoro, M. Filomena   +3 more
core   +1 more source

Reciprocal Convex Costs for Ratio Matching: Axiomatic Characterization

Axioms
We study ratio-induced mismatch cost functions of the form c(s,o)=JιS(s)/ιO(o) built from positive scale maps ιS:S→R>0 and ιO:O→R>0 and a penalty J:(0,∞)→[0,∞).
Jonathan Washburn, Amir Rahnamai Barghi
doaj   +1 more source