Results 71 to 80 of about 540,702 (189)

Equi-asymptotically almost periodic functions and applications to functional integral equations

Electronic Journal of Differential Equations, 2013
In this article, we introduce the notion of equi-asymptotically almost periodicity, and investigate some properties of equi-asymptotically almost periodic functions. In addition, by applying the results on equi-asymptotically almost periodic functions,
Hui-Sheng Ding, Qing-Long Liu, Gaston M. N'Guerekata"   +2 more
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Results on Uniqueness of Solution of Nonhomogeneous Impulsive Retarded Equation Using the Generalized Ordinary Differential Equation

International Journal of Differential Equations, 2019
In this work, we consider an initial value problem of a nonhomogeneous retarded functional equation coupled with the impulsive term. The fundamental matrix theorem is employed to derive the integral equivalent of the equation which is Lebesgue integrable.
D. K. Igobi, U. Abasiekwere
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Global attractivity for Volterra type Hadamard fractional integral equations in Fréchet spaces

Demonstratio Mathematica, 2018
In this paper, we present some results concerning the existence and the attractivity of solutions for some functional integral equations of Hadamard fractional order. We use an extension of the Burton-Kirk fixed point theorem in Fréchet spaces.
Abbas Saïd, Agarwal Ravi P., Benchohra Mouffak, Berhoun Farida   +3 more
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Numerical solution of the Haïssinski equation for the equilibrium state of a stored electron beam

Physical Review Accelerators and Beams, 2018
The longitudinal charge density of an electron beam in its equilibrium state is given by the solution of the Haïssinski equation, which provides a stationary solution of the Vlasov-Fokker-Planck equation.
Robert Warnock, Karl Bane
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Solvability of a nonlocal problem for a hyperbolic equation with integral conditions

Electronic Journal of Differential Equations, 2017
We study a nonlocal problem with integral conditions for a hyperbolic equation two independent variables. By introducing additional functional parameters, we investigated the solvability and construction of approximate solutions.
Anar T. Assanova
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Gap Phenomenon of an Abstract Willmore Type Functional of Hypersurface in Unit Sphere

The Scientific World Journal, 2014
For an n-dimensional hypersurface in unit sphere, we introduce an abstract Willmore type called Wn,F-Willmore functional, which generalizes the well-known classic Willmore functional. Its critical point is called the Wn,F-Willmore hypersurface, for which
Yanqi Zhu, Jin Liu, Guohua Wu
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Integral formula for elliptic SOS models with domain walls and a reflecting end

Nuclear Physics B, 2015
In this paper we extend previous work of Galleas and the author to elliptic sos models. We demonstrate that the dynamical reflection algebra can be exploited to obtain a functional equation characterizing the partition function of an elliptic sos model ...
Jules Lamers
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Adjoint systems and Green functionals for second-order linear integro-differential equations with nonlocal conditions

Electronic Journal of Differential Equations, 2015
In this work, we generalize so called Green's functional concept in literature to second-order linear integro-differential equation with nonlocal conditions. According to this technique, a linear completely nonhomogeneous nonlocal problem for a second-
Ali Sirma
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Some Best Proximity Theorems for Generalized Proximal $\mathcal{Z}$-Contraction Maps in $b$-Metric Spaces with Applications [PDF]

Sahand Communications in Mathematical Analysis
The simulation function and the notion of $\mathcal{Z}$-contraction concerning $\zeta$ which generalizes the Banach contraction principle and unifies several known types of contractions involving the combination of $d(fx, fy)$ and $d(x, y)$.
Dasari Ratna Babu
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Integral Equations Satisfied by Lamé-Wangerin Functions [PDF]

Proceedings of the Edinburgh Mathematical Society, 1954
SummaryIntegral equations are obtained with nuclei (l — zt/a)2n and (z–t)2n which are satisfied by characteristic solutions of the transformed Lamé-Wangerin equation of order n, and each of the two characteristic solutions is expressed in terms of the other by a contour integral.
openaire   +2 more sources