Nontrivial Solutions of Systems of Hammerstein Integral Equations with First Derivative Dependence
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DOI: 10.1007/s00009-017-1044-1
Abstract: By means of classical fixed point index, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations where the nonlinearities are allowed to depend on… read more here.
Keywords: nontrivial solutions; solutions systems; first derivative; hammerstein integral ... See more keywords
On the existence of the solution of Hammerstein integral equations and fractional differential equations
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DOI: 10.1007/s12190-021-01558-1
Abstract: Nonlinear integral equations (particularly Hammerstein integral equations) and fractional differential equations have been the center of extensive research for various scientists because of their practical and physical significance. In this article, our focus is to… read more here.
Keywords: equations fractional; hammerstein integral; fractional differential; integral equations ... See more keywords
Legendre Spectral Projection Methods for Hammerstein Integral Equations with Weakly Singular Kernel
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DOI: 10.1007/s40819-018-0580-0
Abstract: In this paper, we consider the Legendre Galerkin and Legendre collocation methods for solving the Fredholm–Hammerstein integral equation with weakly singular kernels. We evaluate the convergence rates for both the methods in both $$L^2$$L2 and… read more here.
Keywords: spectral projection; legendre galerkin; legendre spectral; iterated legendre ... See more keywords
Error analysis of Jacobi–Galerkin method for solving weakly singular Volterra–Hammerstein integral equations
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DOI: 10.1080/00207160.2020.1714601
Abstract: ABSTRACT In this article, Jacobi spectral Galerkin method and its iterated version are developed for second kind weakly singular Volterra–Hammerstein integral equations. We transform the domain of integration from to by using variable and function… read more here.
Keywords: volterra hammerstein; method; hammerstein integral; singular volterra ... See more keywords
Modified Legendre rational and exponential collocation methods for solving nonlinear Hammerstein integral equations on the semi-infinite domain
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DOI: 10.1080/00207160.2022.2033236
Abstract: This paper discusses two efficient collocation methods for solving the Hammerstein integral equations on the semi-infinite domain, where the underlying solutions decay to zero at infinity. These methods are based upon modified Legendre rational and… read more here.
Keywords: semi infinite; methods solving; collocation methods; hammerstein integral ... See more keywords
Existence and uniqueness theorem for set-valued Volterra–Hammerstein integral equations
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DOI: 10.1142/s1793557118500365
Abstract: In this paper, we consider two types of set-valued Volterra–Hammerstein integral equations and prove the existence and uniqueness theorem. read more here.
Keywords: existence uniqueness; volterra hammerstein; valued volterra; set valued ... See more keywords
Iterative Numerical Methods for a Fredholm-Hammerstein Integral Equation with Modified Argument
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DOI: 10.3390/sym15010066
Abstract: Iterative processes are a powerful tool for providing numerical methods for integral equations of the second kind. Integral equations with symmetric kernels are extensively used to model problems, e.g., optimization, electronic and optic problems. We… read more here.
Keywords: fredholm hammerstein; numerical methods; hammerstein integral; methods fredholm ... See more keywords