Complex representation of general solution of equations for nonlinear model of plane deformation of crystal media with a complex lattice

2018 ◽  
Author(s):  
Anatolii N. Bulygin ◽  
Yurii V. Pavlov
Keyword(s):  
General Solution ◽  
Nonlinear Model ◽  
Plane Deformation ◽  
Complex Representation ◽  
Complex Lattice ◽  
Solution Of Equations

On a class of linear integro-differential equations

1947 ◽  
Vol 43 (2) ◽  
pp. 153-163 ◽  
Author(s):  
H. R. Pitt
Keyword(s):  
General Solution ◽  
Differential Equations ◽  
Existence And Uniqueness ◽  
General Equation ◽  
Uniqueness Of Solutions ◽  
Solution Of Equations ◽  
Image Position

This paper is a sequel to a previous one(1) with the same title which dealt with the general solution of equations of the typeWe consider here the more general equationwhere g(x) is a given function. We are interested particularly in the existence and uniqueness of solutions of the latter equation and show how these are related to the closure and completeness properties of sets of functions {xneωnx} derived from the kernels kr(y).

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