Existence and approximation of solutions of some first order iterative differential equations

By Vasile Berinde. 2010

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Existence theorems for some iterative differential equations as well as convergence theorems for a fixed point iterative method designed to approximate these solutions, are proved under weaker conditions than those due to A. Buică (“Existence and continuous dependence of solutions of some functional-differential equations,” Seminar on Fixed Point Theory 3, pp. 1–14, 1995). To this end, we basically employ the technique of non-expansive mappings. 2000 Mathematics Subject Classification: 34A12, 39B12, 47H09

Subfields: Applied Mathematics, Numerical Analysis

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