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Advances in Difference Equations, 2018 The aim of this work is to establish a new fixed point theorem for generalized contraction mappings with respect to w-distances in complete metric spaces. An illustrative example is provided to advocate the usability of our results.
Hassen Aydi +2 more
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An Integral Equation Involving Legendre Functions [PDF]
, 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
Erdélyi, A.
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On Solutions of a Nonlinear Erdélyi-Kober Integral Equation
Abstract and Applied Analysis, 2014 We conduct some investigations concerning the solvability of a nonlinear integral equation of Erdélyi-Kober type. To facilitate our study we will first consider a nonlinear integral equation of Volterra-Stieltjes type.
Nurgali K. Ashirbayev +2 more
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Shear viscosity in $\phi^4$ theory from an extended ladder resummation
, 2000 We study shear viscosity in weakly coupled hot $\phi^4$ theory using the CTP formalism . We show that the viscosity can be obtained as the integral of a three-point function.
A. Hosoya +29 more
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Renmin Zhujiang, 2020 Reservoir flood regulating calculation can be divided into two methods: solving ordinary differential equation and solving integral equation, of which the method of solving integral equation is more widely used in engineering.
ZHOU Bin
doaj
An approximation method for the solution of nonlinear integral equations [PDF]
, 2006 A Chebyshev collocation method has been presented to solve nonlinear integral equations in terms of Chebyshev polynomials. This method transforms the integral equation to a matrix equation which corresponds to a system of nonlinear algebraic equations ...
Akyuz-Dascioglu, A, Yaslan, HC
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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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The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada
Population Ecology, EarlyView.We examine historical population data for spruce budworm from several locations through the period 1930–1997, and use density‐dependent recruitment curves to test whether the pattern of population growth over time is more consistent with Royama's (1984; Ecological Monographs 54:429–462) linear R(t) model of harmonic oscillation at Green River New ...
Barry J. Cooke, Jacques Régnière
wiley +1 more source
On a class of integral equations [PDF]
Proceedings of the American Mathematical Society, 1952 where g and h are given and f is unknown. The number a may be finite or infinite. The first integral is taken in the sense of a Cauchy principal value. For h(x, t) 8O, this reduces to a well known integral equation of airfoil theory and has been treated extensively, mainly by Fourier methods, cf. [2 ]. E. Reissner [3 ] has applied this method to (1) in
openaire +2 more sources