accedaCRIShttps://accedacris.ulpgc.es/jspuiThe accedaCRIS digital repository system captures, stores, indexes, preserves, and distributes digital research material.Fri, 07 Oct 2022 13:37:15 GMT2022-10-07T13:37:15Z5041Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transferhttp://hdl.handle.net/10553/49416Title: Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer
Authors: Caballero, Josefa; Mingarelli, Angeld B.; Sadarangani, Kishin
Abstract: We give an existence theorem for some functional-integral equations which includes many key integral and functional equations that arise in nonlinear analysis and its applications. In particular, we extend the class of characteristic functions appearing in Chandrasekhar's classical integral equation from astrophysics and retain existence of its solutions. Extensive use is made of measures of noncompactness and abstract fixed point theorems such as Darbo's theorem.
Sun, 01 Jan 2006 00:00:00 GMThttp://hdl.handle.net/10553/494162006-01-01T00:00:00ZExistence of solutions for mixed volterra-fredholm integral equationshttp://hdl.handle.net/10553/46744Title: Existence of solutions for mixed volterra-fredholm integral equations
Authors: Aghajani, Asadollah; Jalilian, Yaghoub; Sadarangani, Kishin
Abstract: In this article, we give some results concerning the continuity of the nonlinear Volterra and Fredholm integral operators on the space L 1[0, ∞). Then by using the concept of measure of weak noncompactness, we prove an existence result for a functional integral equation which includes several classes of nonlinear integral equations. Our results extend some previous works.
Sun, 01 Jan 2012 00:00:00 GMThttp://hdl.handle.net/10553/467442012-01-01T00:00:00ZAsymptotic solutions of forced nonlinear second order differential equations and their extensionshttp://hdl.handle.net/10553/49415Title: Asymptotic solutions of forced nonlinear second order differential equations and their extensions
Authors: Mingarelli, Angelo B.; Sadarangani, Kishin
Abstract: Using a modified version of Schauder's fixed point theorem, measures of non-compactness and classical techniques, we provide new general results on the asymptotic behavior and the non-oscillation of second order scalar nonlinear differential equations on a half-axis. In addition, we extend the methods and present new similar results for integral equations and Volterra-Stieltjes integral equations, a framework whose benefits include the unification of second order difference and differential equations. In so doing, we enlarge the class of nonlinearities and in some cases remove the distinction between superlinear, sublinear, and linear differential equations that is normally found in the literature. An update of papers, past and present, in the theory of Volterra-Stieltjes integral equations is also presented.
Mon, 01 Jan 2007 00:00:00 GMThttp://hdl.handle.net/10553/494152007-01-01T00:00:00ZNon-local problems with integral gluing condition for loaded mixed type equations involving the Caputo fractional derivativehttp://hdl.handle.net/10553/52513Title: Non-local problems with integral gluing condition for loaded mixed type equations involving the Caputo fractional derivative
Authors: Abdullaev, Obidjon Khayrullayevich; Sadarangani, Kishin B.
Abstract: In this work, we study the existence and uniqueness of solutions to non-local boundary value problems with integral gluing condition. Mixed type equations (parabolic-hyperbolic) involving the Caputo fractional derivative have loaded parts in Riemann-Liouville integrals. Thus we use the method of integral energy to prove uniqueness, and the method of integral equations to prove existence.
Fri, 01 Jan 2016 00:00:00 GMThttp://hdl.handle.net/10553/525132016-01-01T00:00:00Z