Results 1 to 10 of about 58,526 (297)
Abel’s Functional Equation and Eigenvalues of Composition Operators on Spaces of Real Analytic Functions [PDF]
Integral Equations and Operator Theory, 2014 We obtain full description of eigenvalues and eigenvectors of composition operators Cϕ : A (R) → A (R) for a real analytic self map ϕ : R → R as well as an isomorphic description of corresponding eigenspaces. We completely characterize those ϕ for which Abel’s equation f ◦ ϕ = f + 1 has a real analytic solution on the real line.
Bonet, José, Domański, Paweł
openaire +5 more sources
Functional equations in real-analytic functions [PDF]
Studia Mathematica, 2000 Consider the functional equation \[ \phi(x)=g(x,\phi(Fx)) \] where \(F:X\to X\) (\(X\) real analytic manifold countable at infinity, \(dim X=m\)), \(g:X\times \mathbb R^n \to \mathbb R^n\) and \(\phi:X \to \mathbb R^n\) are real-analytic functions (\(\phi\) is the unknown function).
Belitskii, G., Tkachenko, V.
exaly +3 more sources
Taiwanese Journal of Mathematics, 2011 The authors consider the first order neutral functional-differential equation of the form \[ au'(t)+bu(t)+(cu'(t+\sigma)+du(t+\sigma))+xu(t+\delta)+yu(t+\tau)=0, \] where \(a, b, c, d, x, y, \sigma, \delta, \tau\) are real parameters, and intend to find the exact region containing these parameters such that all solutions of the above equation oscillate.
Shao-Yuan Huang
exaly +3 more sources
Multiple solutions of nonlinear partial functional differential equations and systems [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We shall consider weak solutions of initial-boundary value problems for semilinear and nonlinear parabolic differential equations with certain nonlocal terms, further, systems of elliptic functional differential equations.
László Simon
doaj +3 more sources
Spectral analysis of an operator associated with linear functional differential equations and its applications [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2000 The spectral set of an operator which is associated with linear autonomous functional differential equations is determined. The consequence is applied to study the admissibility of linear autonomous functional differential equations for the function ...
Satoru Murakami +2 more
doaj +3 more sources
On the Generalized Stabilities of Functional Equations via Isometries [PDF]
AxiomsThe main goal of this research article is to investigate the stability of generalized norm-additive functional equations. This study demonstrates that these equations are Hyers-Ulam stable for surjective functions from an arbitrary group G to a real ...
Muhammad Sarfraz +3 more
doaj +2 more sources
On a Certain Generalized Functional Equation for Set-Valued Functions [PDF]
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
doaj +2 more sources
Real-time dynamics of the $O(4)$ scalar theory within the fRG approach
SciPost Physics, 2022 In this paper, the real-time dynamics of the $O(4)$ scalar theory is studied within the functional renormalization group formulated on the Schwinger-Keldysh closed time path.
Yang-yang Tan, Yong-rui Chen, Wei-jie Fu
doaj +1 more source
Features of Loss of Stability of the Work of Two-Link Mechanisms That Have an Infinite Number of Degrees of Freedom [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2018 Mechanisms consisting of two links, a leading (engine) and a slave (executive body), which are connected by long lines of force, are considered. With the use of the new method, general equations are derived in Laplace images describing the oscillations ...
Leonid Kondratenko, Lubov Mironova
doaj +1 more source
On qualitative behavior of multiple solutions of quasilinear parabolic functional equations
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We shall consider weak solutions of initial-boundary value problems for semilinear and nonlinear parabolic differential equations for $t\in (0,\infty )$ with certain nonlocal terms.
László Simon
doaj +1 more source