On a new class of functional equations satisfied by polynomial functions
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DOI: 10.1007/s00010-021-00781-2
Abstract: The classical result of L. Szekelyhidi states that (under some assumptions) every solution of a general linear equation must be a polynomial function. It is known that Szekelyhidi’s result may be generalized to equations where… read more here.
Keywords: equations satisfied; class functional; satisfied polynomial; new class ... See more keywords
Periodic Perturbations of a Class of Functional Differential Equations
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DOI: 10.1007/s10884-020-09928-2
Abstract: We study the existence of a connected “branch” of periodic solutions of T -periodic perturbations of a particular class of functional differential equations on differentiable manifolds. Our result is obtained by a combination of degree-theoretic… read more here.
Keywords: functional differential; class functional; equations periodic; differential equations ... See more keywords
Empirical likelihood based estimation for a class of functional coefficient ARCH-M models
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DOI: 10.1080/03610926.2018.1554139
Abstract: Abstract A class of functional coefficient ARCH-M models are discussed in this paper. Based on empirical likelihood method, a weighted empirical likelihood estimation procedure is proposed for estimating the functional coefficients. Furthermore, the constructed empirical… read more here.
Keywords: coefficient arch; estimation; likelihood; empirical likelihood ... See more keywords