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Integrable Singular Integral Evolution Equations
1993Integro-differential evolution equations (IDEE’s) appear in several areas of applied Science. For instance, in a fluid dynamical context, equation $$\begin{array}{*{20}{c}} {{{u}_{t}} + au{{u}_{x}} + \int\limits_{{ - \infty }}^{\infty } {dx\prime K(x - x\prime ){{u}_{{x\prime }}}(x\prime ,t) = 0,} } & {K(x): = \int\limits_{{ - \infty }}^{\infty } {\
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Nonlinear Singular Integral Equations
2011Abel’s integral equation, linear or nonlinear, occurs in many branches of scientific fields [1], such as microscopy, seismology, radio astronomy, electron emission, atomic scattering, radar ranging, plasma diagnostics, X-ray radiography, and optical fiber evaluation. Linear Abel’s integral equation is the earliest example of an integral equation.
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Singular Perturbation-Based Adaptive Integral Sliding Mode Control for Flexible Joint Robots
IEEE Transactions on Industrial Electronics, 2023Raja Fawad Afsar khan +2 more
exaly
Singular Boundary Integral Equations
2013In this chapter we will consider one-dimensional singular integral equations involving Cauchy principal values that arise from boundary value problems for holomorphic functions in the classical Holder space setting. The investigations of these integral equations with Cauchy kernels by Gakhov, Muskhelishvili, Vekua, and others have had a great impact on
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Multidimensional Singular Integral Equations
2000The multidimensional singular integral equations are applied in many fields of engineering mechanics, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity and fracture mechanics theory. F. G. Tricomi [1], [2] has written the first important work on multidimensional singular integrals and investigated double singular ...
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