A new contraction condition and its application to weakly singular Volterra integral equations of the second kind
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DOI: 10.1007/s11784-017-0445-x
Abstract: In this paper, we prove some results concerning the existence and uniqueness of solutions for a large class of nonlinear Volterra integral equations of the second kind, especially singular Volterra integral equations, in the Banach… read more here.
Keywords: second kind; new contraction; equations second; volterra integral ... See more keywords
On fast multipole methods for Fredholm integral equations of the second kind with singular and highly oscillatory kernels
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DOI: 10.1080/00207160.2019.1619705
Abstract: ABSTRACT This paper considers a special boundary element method for Fredholm integral equations of the second kind with singular and highly oscillatory kernels. To accelerate the resolution of the linear system and the matrix-vector multiplication… read more here.
Keywords: second kind; kind singular; equations second; singular highly ... See more keywords
A Numerical Method for Weakly Singular Nonlinear Volterra Integral Equations of the Second Kind
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DOI: 10.3390/sym12111862
Abstract: This paper presents a numerical iterative method for the approximate solutions of nonlinear Volterra integral equations of the second kind, with weakly singular kernels. We derive conditions so that a unique solution of such equations… read more here.
Keywords: second kind; integral equations; method; equations second ... See more keywords
Uniqueness of Abel's Integral Equations of the Second Kind with Variable Coefficients
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DOI: 10.3390/sym13061064
Abstract: This paper studies the uniqueness of the solutions of several of Abel’s integral equations of the second kind with variable coefficients as well as an in-symmetry system in Banach spaces L(Ω) and L(Ω)×L(Ω), respectively. The… read more here.
Keywords: second kind; variable coefficients; kind variable; equations second ... See more keywords
Global Phase Portraits for the Abel Quadratic Polynomial Differential Equations of the Second Kind With Z2-symmetries
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DOI: 10.4153/cmb-2017-026-6
Abstract: Abstract We provide normal forms and the global phase portraits on the Poincaré disk for all Abel quadratic polynomial diòerential equations of the second kind with ${{\mathbb{Z}}_{2}}$ -symmetries. read more here.
Keywords: second kind; global phase; equations second; quadratic polynomial ... See more keywords