Results 41 to 50 of about 105,807 (283)
Abstract and Applied Analysis, 2014 Some Gronwall-Bellman-Gamidov type integral inequalities with power nonlinearity and their weakly singular analogues are established, which can give the explicit bound on solution of a class of nonlinear fractional integral equations.
Kelong Cheng, Chunxiang Guo, Min Tang
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Superconvergence of Piecewise Polynomial Collocations for Nonlinear Weakly Singular Integral Equations [PDF]
Journal of Integral Equations and Applications, 1997 Using regularity results established by the authors in [Z. Anal. Anwend. 13, No. 3, 463-476 (1994; Zbl 0803.45007)], they present a complete and detailed analysis of the (global and local) convergence rates of piecewise polynomial collocation solutions (on suitably graded meshes) for nonlinear integral equations of Urysohn type \[ u(x)= \int^b_0 K(x,y ...
Pedas, Arvet, Vainikko, Gennadi
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Magnetic Force Microscopy Signatures of Higher‐Order Skyrmions and Antiskyrmions
Advanced Functional Materials, EarlyView.Magnetic force microscopy operated under vacuum conditions enables the qualitative identification of higher‐order skyrmions and antiskyrmions in Co/Ni multilayers at room temperature. Distinct stray‐field contrast signatures arise from vertical Bloch lines and complex domain‐wall configurations.
Sabri Koraltan +8 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2020 We study the existence of positive solutions for second-order differential equations with separated integral boundary conditions. The nonlinear part of the equation involves the derivative and may be singular for the second and third space variables. The
Yanlei Zhang +2 more
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Imaging of Biphoton States: Fundamentals and Applications
Advanced Functional Materials, EarlyView.Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
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Toeplitz Matrix Method and Nonlinear Volterra–Fredholm Integral Equation With Hilbert Kernel
Computational and Mathematical MethodsThis work emphasizes the investigation of the solution to the nonlinear Volterra–Fredholm integral equation (NV-FIE) and the necessary conditions for a unique solution.
Sameeha Ali Raad, Ahlam Yahya Alabdali
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Fractal and Fractional, 2023 We offer a wavelet collocation method for solving the weakly singular integro-differential equations with fractional derivatives (WSIDE). Our approach is based on the reduction of the desired equation to the corresponding Volterra integral equation.
Haifa Bin Jebreen
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Quasi‐Static to Supersonic Energy Absorption of Nanoarchitected Tubulanes and Schwarzites
Advanced Functional Materials, EarlyView.Nanoarchitected energy‐absorptive Tubulanes exhibit record energy absorption under quasi‐static conditions and exceptional inelastic energy dissipation under 750 m s−1 ballistics impact, with high performance spanning strain rates of 12 orders of magnitude.
Peter Serles +16 more
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Error bound analysis and singularly perturbed Abel-Volterra equations
Journal of Applied Mathematics, 2004 Asymptotic solutions of nonlinear singularly perturbed Volterra integral equations with kernels possessing integrable singularity are investigated using singular perturbation methods and the Mellin transform technique.
Angelina M. Bijura
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A Nonlinear Integral Equation Occurring in a Singular Free Boundary Problem [PDF]
Transactions of the American Mathematical Society, 1984 We study the Cauchy problem \[ { u t = ϕ ( u x
Höllig, Klaus, Nohel, John A.
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