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On the existence of continuous positive monotonic solutions of a self-reference quadratic integral equation

El-Sayed Ahmed M.A., Ebead Hanaa R.

Journal of Mathematics and Applications

2020

Vol. 43

67--80

In this work we study the existence of positive monotonic solutions of a self-reference quadratic integral equation in the class of continuous real valued functions. The continuous dependence of the uniquesolution will be proved. Some examples will be given.

Some theorems of incremental thermoelectroelasticity

Montanaro A.

Archives of Mechanics

2010

Vol. 62, nr 1

49-72

We extend to incremental thermoelectroelasticity with biasing fields certain classical theorems, which have been stated and proved in linear thermopiezoelectricity referred to a natural configuration. A uniqueness theorem for the solutions to the initial boundary value problem, the generalized Hamilton principle and the theorem of reciprocity of work are deduced for incremental fields, superposed on finite biasing fields in a thermoelectroelastic body.