Nontrivial Solutions of Systems of Perturbed Hammerstein Integral Equations with Functional Terms
, 2021 We discuss the solvability of a fairly general class of systems of perturbed Hammerstein integral equations with functional terms that depend on several parameters.
Gennaro Infante
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Discrete integrable equations and special functions [PDF]
Ufimskii Matematicheskii Zhurnal, 2017 Summary: A generic scheme based on the matrix Riemann-Hilbert problem theory is proposed for constructing classical special functions satisfying difference equations. These functions comprise gamma- and zeta functions, as well as orthogonal polynomials with corresponding recurrence relations.
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On Monotonic Integrable Solutions for Quadratic Functional Integral Equations [PDF]
Mediterranean Journal of Mathematics, 2012 The object of this paper is to study the stability of a nonlinear Urysohn functional integral equation \[ x(t)= f_1(t, x(\Phi_1(t)))+ f_2(t, x(t)) \int^t_0 u(t,s,x(\Phi_2(s)))\,ds,\quad t\in L. \]
Cichoń, Mieczysław +1 more
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Monotonic solutions of functional integral and differential equations of fractional order
Electronic Journal of Qualitative Theory of Differential Equations, 2009 The existence of positive monotonic solutions, in the class of continuous functions, for some nonlinear quadratic integral equations have been studied by J. Banas. Here we are concerned with a singular quadratic functional integral equations.
Ahmed El-Sayed, H. H. G. Hashem
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On the integral functional equations: On the integral d'Alembert's and Wilson's functional equations
, 2016 19 ...
Belaid, Bouikhalene +1 more
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Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras [PDF]
, 2007 The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras.
Dunning, Clare +4 more
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Functional equations for zeta functions of groups and rings
, 2010 We introduce a new method to compute explicit formulae for various zeta functions associated to groups and rings. The specific form of these formulae enables us to deduce local functional equations. More precisely, we prove local functional equations for
Voll, C., Voll, Christopher
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FEBS Letters, EarlyView.The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
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Perturbed conformal field theory, nonlinear integral equations and spectral problems [PDF]
, 2000 This thesis is concerned with various aspects of perturbed conformal field theory and the methods used to calculate finite-size effects of integrable quantum field theories.
Dunning, Tania Clare +2 more
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Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations
, 2013 We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
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