Results 141 to 150 of about 22,610 (167)
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Mathematical Notes of the Academy of Sciences of the USSR, 1971
Existence theorems for and the determination of continuous solutions, defined on the real axis R, of the functional equationf (t)=A[t,f (at−b),f (at−c)], wherea, b, and c are real parameters, A:R×E×E → E is a continuous operator, and E is a Banach space.
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Existence theorems for and the determination of continuous solutions, defined on the real axis R, of the functional equationf (t)=A[t,f (at−b),f (at−c)], wherea, b, and c are real parameters, A:R×E×E → E is a continuous operator, and E is a Banach space.
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Mathematical Notes of the Academy of Sciences of the USSR, 1969
The translational functional equation (1) with right-hand side analytic in a finite convex region D is investigated. It is proved that a solution exists which is analytic in a finite convex region G1 determined by G. A corollary of this result is the existence of analytic solutions of differential-difference equations of finite order and of difference ...
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The translational functional equation (1) with right-hand side analytic in a finite convex region D is investigated. It is proved that a solution exists which is analytic in a finite convex region G1 determined by G. A corollary of this result is the existence of analytic solutions of differential-difference equations of finite order and of difference ...
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On the Robustness of Functional Equations
SIAM Journal on Computing, 1999Summary: We study the general question of how characteristics of functional equations influence whether or not they are robust. We isolate examples of properties which are necessary for the functional equations to be robust. On the other hand, we show other properties which are sufficient for robustness.
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The semiclassical functional equation
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1992A semiclassical analog of the functional equation for the Riemann zeta function is considered. In the case of the zeta function itself, this equation forms the basis for a finite approximation to the Dirichlet series, known as the approximate functional equation.
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Functions and Functional Equations
2015The concept of function is one of the most important in mathematics. A function is a relation between elements of two sets X and Y , which we denote by f : X → Y , that satisfies.
Radmila Bulajich Manfrino +2 more
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On Functions and Functional Equations
2020FUNCTIONS Elementary properties of functions Continuous functions Derivatives of a function FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES Introduction The Cauchy functional equation and related equations Other important types of equations Applications of functional equations in several variables Discontinuous solution of the Cauchy functional equation ...
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ON FUNCTIONAL EQUATIONS OF DIRICHLET FUNCTIONS
Mathematics of the USSR-Izvestiya, 1967The paper adduces a theorem of a general form on functional equations of the Dirichlet functions, as well as certain of its corollaries.
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Functional nanoparticles through π-conjugated polymer self-assembly
Nature Reviews Materials, 2020Liam R Macfarlane +2 more
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Metal Ion-Directed Functional Metal–Phenolic Materials
Chemical Reviews, 2022Huimin Geng, Qi-Zhi Zhong, Jianhua Li
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