Results 21 to 30 of about 71,517 (254)
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this present paper, we introduce a new measure of noncompactness on the space consisting of all real functions which are $n$ times bounded and continuously differentiable on $\mathbb{R}_+$.
Reza Allahyari +2 more
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Applied Sciences, 2022 This paper is devoted to the development of generalized (for a wide range of fields (100 kV/m–1000 MV/m) and temperatures (0–1500 K) in the radio frequency range (1 kHz–500 MHz)) methods for the theoretical investigation of the physical mechanism of ...
Valeriy Kalytka +9 more
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Sensors, 2023 Despite the progress in driving automation, the market introduction of higher-level automation has not yet been achieved. One of the main reasons for this is the effort in safety validation to prove functional safety to the customer.
Zoltan Ferenc Magosi, Arno Eichberger
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A UNIVERSAL CAUCHY FUNCTIONAL EQUATION OVER THE POSITIVE REALS II
AIP Conference Proceedings, 2010 The authors study the so-called \textit{universal Cauchy functional equation} \[ af(xy)+bf(x)f(y)+cf(x+y)+d(f(x)+f(y))=0, \] where \(f\) is the unknown function mapping from the positive real numbers to complex numbers, and \(a,b,c,d\) are constants. This equation was studied by Dhombres before, but the domain of \(f\) contains zero.
Laohakosol, Vichian +1 more
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On a Certain Generalized Functional Equation for Set-Valued Functions
Mathematics, 2020 The aim of the paper is to generalize results by Sikorska on some functional equations for set-valued functions. In the paper, a tool is described for solving a generalized type of an integral-functional equation for a set-valued function F:X→cc(Y ...
Yaroslav Bazaykin +3 more
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PPP–RTK functional models formulated with undifferenced and uncombined GNSS observations
Satellite Navigation, 2022 Technique PPP–RTK combines the advantages of both the Precise Point Positioning (PPP) and the Real-Time Kinematic (RTK) positioning. With the emergence of multi-frequency Global Navigation Satellite System (GNSS) observations, it is preferable to ...
Baocheng Zhang +3 more
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Multiple solutions of nonlinear elliptic functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We shall consider weak solutions of boundary value problems for elliptic functional differential equations of the form $$ -\sum_{j=1}^nD_j[a_j(x,u,Du;u)]+a_0(x,u,Du;u)=F,\qquad x\in \Omega $$ with homogeneous boundary conditions, where $\Omega \subset ...
László Simon
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Real time lattice correlation functions from differential equations
Journal of High Energy Physics, 2023 Abstract We report on an exact calculation of lattice correlation functions on a finite four-dimensional lattice with either Euclidean or Minkowskian signature. The lattice correlation functions are calculated by the method of differential equations. This method can be used for Euclidean and Minkowskian signature alike. The lattice
Gasparotto, Federico +2 more
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Demonstratio Mathematica, 2014 This paper is devoted to the study of the following perturbed system of nonlinear functional equations x ∊Ω=[-b,b], i = 1,…., n; where ε is a small parameter, aijk; bijk are the given real constants, Rijk, Sijk , Xijk : Ω → Ω ,gi → Ω →ℝ , Ψ: Ω x ℝ2→ ℝ ...
Ngoc Le Thi Phuong +3 more
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A package for symbolic solution of real functional equations of real variables
Aequationes Mathematicae, 1997 The authors describe a Mathematica package for the solution of functional equations. Solving functional equations is a tricky business. Most people working in the field have a bagful of equations whose solution is known and a bag of tricks (methods to reduce to these and thus solve other equations), nobody knows everything.
Castillo, Enrique, Iglesias, Andres
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