The solvability of functional quadratic Volterra-Urysohn integral equations on the half line
2018
scientific article
english
- quadratic integral equations
- integro-differential equations
- Schauder fixed point theorem
- superposition operator
EN We study the solvability of general quadratic Volterra integral equations in the space of Lebesgue integrable functions on the half line. Using the conjunction of the technique of measures of weak noncompactness with modified Schauder fixed point principle we show that the integral equation, under certain conditions, has at least one solution. Moreover, that result generalizes several ones obtained earlier in many research papers and monographs.
109 - 123
CC BY-NC-ND (attribution - noncommercial - no derivatives)
public
10
10