Results 1 to 10 of about 912,438 (227)
On a Functional Integral Equation [PDF]
Symmetry, 2021 In this paper, we establish some results for a Volterra–Hammerstein integral equation with modified arguments: existence and uniqueness, integral inequalities, monotony and Ulam-Hyers-Rassias stability. We emphasize that many problems from the domain of symmetry are modeled by differential and integral equations and those are approached in the ...
Daniela Marian +2 more
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Mathematics, 2023 This research paper focuses on investigating the solvability of a constrained problem involving a nonlinear delay functional equation subject to a quadratic functional integral constraint, in two significant cases: firstly, the existence of nondecreasing
Ahmed M. A. El-Sayed +2 more
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General functional-integral Volterra equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2007 We research the one-valued solvability of the integral Volterra equation of general type with given initial condition. The theorem on the existence and uniqueness of continuous solution, which satisfies the Lipschitz condition on the considered interval ...
T. K. Yuldashev, Zh. A. Artykova
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On global attractivity of solutions of a functional-integral equation
Electronic Journal of Qualitative Theory of Differential Equations, 2007 We prove an existence theorem for a quadratic functional-integral equation of mixed type. The functional-integral equation studied below contains as special cases numerous integral equations encountered in nonlinear analysis.
Mohamed Darwish
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Advances in Difference Equations, 2021 We investigate the existence of solutions for a nonlinear integral inclusion of Urysohn–Stieltjes type. As applications, we give a Chandrasekhar quadratic integral equation and a nonlinear Chandrasekhar integral inclusion.
Ahmed El-Sayed +2 more
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Mathematics, 2022 Differential and integral equations in reflexive Banach spaces have gained great attention and hve been investigated in many studies and monographs. Inspired by those, we study the existence of the solution to a delay functional integral equation of ...
Ahmed M. A. El-Sayed, Yasmin M. Y. Omar
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Integrable functional equations and algebraic geometry [PDF]
Duke Mathematical Journal, 1994 The authors offer the measurable solutions of the functional equation \[ q(x,y) q(y,z) = q(x,z) (r(x,y) - r(y,z)) + p(x,z). \] It turns out that they depend only upon the differences of their variables (and are thus related to integrable many-body problems, cf. \textit{F. Caligero}, Lett.
Dubrovin, Boris +2 more
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String Propagator: a Loop Space Representation [PDF]
, 1995 The string quantum kernel is normally written as a functional sum over the string coordinates and the world--sheet metrics. As an alternative to this quantum field--inspired approach, we study the closed bosonic string propagation amplitude in the ...
A. Aurilia +17 more
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Spline Technique for Second Type of Fredholm Integral Equations
Journal of Kufa for Mathematics and Computer, 2020 Integral equation plays very important tools in a developed science like numerous troubles in an engineering and mechanical sciences . a cubic spline method renowned to begin with one powerful role to solve many functional equations like integral ...
Ahmed Jaber, Adil Alrammahi
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Solvability of functional-integral equations (fractional order) using measure of noncompactness
Advances in Difference Equations, 2020 We investigate the solutions of functional-integral equation of fractional order in the setting of a measure of noncompactness on real-valued bounded and continuous Banach space.
Reza Arab +3 more
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