Title :
Nonlinear Stieltjes equations and proximity of solutions
Author :
Barbanti, L. ; Balthazar, J.M. ; Prandini, J.C.
Author_Institution :
Math. Inst., Sao Paulo Univ., Brazil
Abstract :
Here we are concerned with a nonlinear Stieltjes equation in which the inputs and solutions are regulated functions and the integral considered is the Dushnik (or interior) one. By using a Gronwall type inequality for the linear case we prove results about the proximity of solutions when two (nonlinear) equations with close kernels and inputs are considered
Keywords :
Banach spaces; integral equations; nonlinear equations; Gronwall type inequality; close kernels; nonlinear Stieltjes equations; regulated functions; Control systems; Differential equations; Integral equations; Kernel; Nonlinear equations;
Conference_Titel :
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-6434-1
DOI :
10.1109/COC.2000.873528
