Results 21 to 30 of about 362 (95)

Relevant Classes of Weakly Picard Operators

Annals of the West University of Timisoara: Mathematics and Computer Science, 2016
In this paper we consider the following problems:
Rus Ioan A.
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Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations

Advances in Difference Equations, 2017
In this paper, by applying the technique of measure of weak noncompactness and Mönch’s fixed point theorem, we investigate the existence of weak solutions under the Pettis integrability assumption for a coupled system of Hadamard fractional differential ...
Saïda Abbas, Mouffak Benchohra, Yong Zhou, Ahmed Alsaedi   +3 more
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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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An Integral Equation Involving Legendre Functions [PDF]

Journal of the Society for Industrial and Applied Mathematics, 1964
Rodrigues’s formula can be applied also to (1.1) and (1.3) but here the situation is slightly more involved in that the integrals with respect to σ^2 are of fractional order and their inversion requires the knowledge of differentiation and integration of fractional order.
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Optimal quadrature formulas in Sobolev space for solving the generalized Abel integral equation [PDF]

E3S Web of Conferences
In this article, a composite optimal quadrature formula is constructed for an approximate analytical solution of the generalized integral Abel equation in the Sobolev functional space.
Daliyev Bakhtiyor, Tukxtasinov Dadakhon, Bozarov Bakhromjon, Sabirov Salim, Abdullayev Jamoliddin, Ruzimatova Makhfuza   +5 more
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Some Integral Equations Involving Hypergeometric Functions [PDF]

Proceedings of the Edinburgh Mathematical Society, 1967
SummaryAn integral equation of the first kind, with kernel involving a hypergeometric function, is discussed. Conditions sufficient for uniqueness of solutions are given, then conditions necessary for existence of solutions. Conditions sufficient for existence of solutions, only a little stricter than the necessary conditions, are given; and with them ...
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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, Metwali, Mohamed M. A.   +1 more
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Equations containing locally Henstock-Kurzweil integrable functions [PDF]

Applications of Mathematics, 2012
The authors consider a functional integral equation of Volterra type \[ u(t)=h(t,u)+{}^{K}\int _a^t g(s,u(s),u)\, d\,s, \quad t\in [a,b), \] where \(-\infty
Heikkilä, Seppo, Ye, Guoju
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On some bessel-function integral equations

Annali di Matematica Pura ed Applicata, 1976
Two propositions of Bremekamp in the field of integral equations are revisited. Their common base is shown to be an elegant reciprocal relation between a pair of integral equations of Volterra type.
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Motivic integrals and functional equations [PDF]

St. Petersburg Mathematical Journal, 2008
16 pages, misprints ...
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