Scalar wave diffraction by an open-ended sphere-conical cavity: the Abel integral transform in the Dirichlet and Neumann problems. [PDF]
Kuryliak D, Lysechko V.
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Critical points and syzygies for Feynman integrals. [PDF]
Page B, Song Q.
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Fractional-order analysis of a fear-induced ecoepidemiological predator-prey model with optimal control and bifurcation dynamics. [PDF]
Alomari FAH, Bahaa GM.
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Bifurcation analysis and soliton solutions of the generalized third-order nonlinear Schrödinger equation using two analytical approaches. [PDF]
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Koopman-von Neumann and Weyl-Wigner Phase-Space Formulation of Inviscid Euler Flows. [PDF]
Molnar SM, Godfrey JR.
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Solutions behavior of mechanical oscillator equations with impulsive effects under Power Caputo fractional operator and its symmetric cases. [PDF]
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Singularities of Solutions of Singular Integral Equations
Ukrainian Mathematical Journal, 2002This paper deals with a singular integral equation \[ Sq+Tq=f,\tag{1} \] where \(q(x)\) is an unknown function, \[ Sq(x):=aq(x)+\frac{1}{\pi }\text{v.p.} \int_{-1}^{1} \frac{q(\tau)}{\tau -x} d\tau,\;Tq(x):=\int_{-1}^{1}K(x,\tau)q(\tau) d\tau. \] It is assumed that the functions \(f\) and \(K\) smoothly depend on additional parameters.
Kapustyan, V. E., Il'man, V. M.
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The integral equation P ∫ cK(ζ′,ζ)ζ′−ζφ(ζ′) dζ′=h(ζ)φ(ζ)+f(ζ)is shown to have simple solutions obtained by standard and elementary methods if h and K have appropriate analytic properties.
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Solving a Singular Integral Equation
Computational Mathematics and Modeling, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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