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Normalized Caputo-Fabrizio SVIR modeling and bifurcation analysis. [PDF]
Shafqat R +3 more
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Smoothness and stability in the Alt-Phillips problem. [PDF]
Carducci M, Tortone G.
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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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Research on Simulation of Fatigue Crack Growth in LNG Storage Tanks and Prediction of Residual Service Life. [PDF]
Zhang Q, Yi X, Li Z, Zhou W, Liu J.
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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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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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Journal of Mathematical Physics, 1966
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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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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On the Solution of a Singular Integral Equation
Differential Equations, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2003
In this chapter we discuss some recent results for Fredholm and Volterra integral equations, which deal with the existence of positive (and possibly multiple) solutions of certain classes of these equations. In Section 3.2 we provide some existence results for the nonsingular Fredholm integral equations.
Ravi P. Agarwal, Donal O’Regan
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In this chapter we discuss some recent results for Fredholm and Volterra integral equations, which deal with the existence of positive (and possibly multiple) solutions of certain classes of these equations. In Section 3.2 we provide some existence results for the nonsingular Fredholm integral equations.
Ravi P. Agarwal, Donal O’Regan
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