Systems of Generalized Abel Equations
Copyright policy )Systems of Generalized Abel Equations
Certain mixed boundary value problems arising in the classical theory of elasticity lead to the solution of certain systems of generalized Abel integral equgtions. A method is presented where these systems are reduced to uncoupled pairs of Riemann boundary value problems. Closed form solutions are obtained. We also demonstrate how general systems of dual relations (given in terms of Erdelyi–Sneddon operators of fractional integration) may be reduced to these systems of Abel equations.
integral equations, Systems of singular linear integral equations, Elastic materials, Dual equations, Dual, triple, etc., integral and series equations, Fractional integrals, Riemann-Hilbert problems, Dynamical problems in solid mechanics, Abel equations, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), Erdelyi-Sneddon operators
integral equations, Systems of singular linear integral equations, Elastic materials, Dual equations, Dual, triple, etc., integral and series equations, Fractional integrals, Riemann-Hilbert problems, Dynamical problems in solid mechanics, Abel equations, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), Erdelyi-Sneddon operators
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