By E.G. Ladopoulos
The current e-book bargains with the finite-part singular essential equations, the multidimensional singular essential equations and the non-linear singular necessary equations, that are at present utilized in many fields of engineering mechanics with utilized personality, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural research, fluid mechanics, aerodynamics and elastodynamics. some of these singular fundamental equations shape the most recent excessive know-how at the resolution of extremely important difficulties of good and fluid mechanics and accordingly exact cognizance might be given through the reader of the current booklet, who's for the hot know-how of the twentieth-one century. bankruptcy 1 is dedicated with a ancient file and a longer define of References, for the finite-part singular indispensable equations, the multidimensional singular quintessential equations and the non-linear singular fundamental equations. bankruptcy 2 presents a finite-part singular fundamental illustration research in Lp areas and often Hilbert areas. within the related bankruptcy are investigated all attainable approximation tools for the numerical evaluate of the finite-part singular essential equations, as closed shape ideas for the above form of indispensable equations can be found basically in uncomplicated situations. additionally, bankruptcy 2 presents additional a generalization of the well-known Sokhotski-Plemelj formulae and the Nother theorems, for the case of a finite-part singular necessary equation.
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