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Existence of solutions of integral equations with asymptotic conditions
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In this paper, the fixed point index theory is applied to the Banach space to obtain fixed points of the integral operator in order to obtain solutions that satisfy some certain kind of asymptotic behavior.Abstract:
In this work we will consider integral equations defined on the whole real line and look for solutions which satisfy some certain kind of asymptotic behavior. To do that, we will define a suitable Banach space which, to the best of our knowledge, has never been used before. In order to obtain fixed points of the integral operator, we will consider the fixed point index theory and apply it to this new Banach space.read more
Citations
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Journal ArticleDOI
On the existence of solutions of some non-linear functional integral equations in Banach algebra with applications
Amar Deep,Deepmala,Cemil Tunç +2 more
TL;DR: In this paper, the existence of solution of nonlinear functional integral equations by using Darbo's fixed point theorem in Banach algebra is established, and the results are generalized to nonlinear functions.
Dissertation
Nonlinear differential equations on bounded and unbounded domains
TL;DR: The main purpose of as mentioned in this paper is the study of the existence, as well as the uniqueness or multiplicity, of solutions of functional equations, focusing on the constant sign solutions of non-linear solutions.
Journal ArticleDOI
Solvability of Coupled Systems of Generalized Hammerstein-Type Integral Equations in the Real Line
Feliz Minhós,Robert de Sousa +1 more
TL;DR: In this article, a generalized coupled system of integral equations of Hammerstein-type with discontinuous nonlinearities is considered, where the main existence tool is Schauder's fixed point theorem in the space of bounded and continuous functions.
Journal ArticleDOI
Existence of solutions of a second order equation defined on unbounded intervals with integral conditions on the boundary
Alberto Cabada,Rabah Khaldi +1 more
TL;DR: In this paper , the authors used the upper and lower solutions method to prove the existence of at least one solution for the second order equation defined on unbounded intervals with integral conditions on the boundary.
Journal ArticleDOI
Existence of Solutions of Integral Equations Defined in Unbounded Domains Via Spectral Theory
TL;DR: In this article, the authors considered spectral theory to find fixed points of the integral operator on the whole real line, and they used a suitable Banach space to find solutions that satisfy some certain kind of asymptotic behavior.
References
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Book
Delay Differential Equations: With Applications in Population Dynamics
TL;DR: Delay Differential Equations as mentioned in this paper are a generalization of delay differential equations and have been used in a variety of applications in population dynamics, such as global stability for single species models and multi-species models.
Book
Introduction to the Theory of Computation
TL;DR: Throughout the book, Sipser builds students' knowledge of conceptual tools used in computer science, the aesthetic sense they need to create elegant systems, and the ability to think through problems on their own.
Book
Introduction to Perturbation Methods
TL;DR: The WKB and Related Methods are described and the method of Homogenization is explained, followed by a discussion of the properties of Transition Layer Equations and asymptotic approximations.
Journal ArticleDOI
Integral Equations and Stability of Feedback Systems
Book
Composition operators on function spaces
R. K. Singh,Jasbir Singh Manhas +1 more
TL;DR: Composition operators on functional Banach spaces: general characterizations composition operators on spaces H(p, D), H( p, D(n)) and H(P, D, n)) composition operators are defined, characterizations and examples invertible composition operators compact composition operators normality of composition operators weighted composition operators as mentioned in this paper.