Non-linear singular integral approximations in banach spaces

DOI10.1016/0362-546X(95)00008-JzbMath0856.65147OpenAlexW2130795793MaRDI QIDQ4886551

E. G. Ladopoulos, V. A. Zisis

Publication date: 15 August 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00008-j

zbMATH Keywords

convergencecollocationquadrature methodsnonlinear Cauchy singular integral equationsorthotropic shallow spherical shell analysistheory of turbomachines

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Singular nonlinear integral equations (45G05)

Related Items (6)

Collocation-approximation methods for nonlinear singular integrodifferential equations in Banach spaces ⋮ Newton-Kantorovich approximations to nonlinear singular integral equation with shift ⋮ On a class of nonlinear singular integral equations with shift on a closed contour ⋮ Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces ⋮ New methods for solving of nonlinear weakly singular integral equations ⋮ The method of Kantorovich majorants to nonlinear singular integral equation with shift

Cites Work

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• On the numerical solution of the finite-part singular integral equations of the first and second kind used in fracture mechanics
• Solutions in the large for certain nonlinear parabolic systems
• Injectivity and self-contact in nonlinear elasticity
• Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability
• The general type of finite-part singular integrals and integral equations with logarithmic singularities used in fracture mechanics
• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• Convexity conditions and existence theorems in nonlinear elasticity
• Finite element approximation of a nonlinear parabolic problem
• Existence and uniqueness for nonlinear singular integral equations used in fluid mechanics
• Nonlinear finite-part singular integral equations arising in two-dimensional fluid mechanics
• Nonlinear integro-differential equations used in orthotropic shallow spherical shell analysis
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Nonlinear Volterra equations on a Hilbert space
• Singular integral operators method for two-dimensional plasticity problems
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
• Principal stress and strain trajectories in nonlinear elastostatics
• On a new integration rule with the Gegenbauer polynomials for singular integral equations used in the theory of elasticity
• On a Nonlinear Hyperbolic Volterra Equation
• Singular integral operators method for three-dimensional elasto-plastic stress analysis
• A model for one-dimensional, nonlinear viscoelasticity

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