Picard and weakly Picard operators technique for nonlinear differential equations in Banach spaces
Copyright policy )Picard and weakly Picard operators technique for nonlinear differential equations in Banach spaces
The authors study nonlocal Cauchy problems for differential equations in Banach spaces. Using Picard and weakly Picard operators technique and suitable Bielecki norms, some existence, uniqueness and data dependence results are obtained under some mild conditions. They also discuss a class of impulsive Cauchy problems by adapting the same methods.
- Guizhou University China (People's Republic of)
- Comenius University Slovakia
- Xiangtan University China (People's Republic of)
Impulsive, Nonlocal Cauchy problems, Applied Mathematics, Nonlinear differential equations in abstract spaces, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Weakly Picard operators, Ordinary differential equations with impulses, Picard operators, weakly Picard operators, nonlocal Cauchy problem, existence of solutions, Analysis
Impulsive, Nonlocal Cauchy problems, Applied Mathematics, Nonlinear differential equations in abstract spaces, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Weakly Picard operators, Ordinary differential equations with impulses, Picard operators, weakly Picard operators, nonlocal Cauchy problem, existence of solutions, Analysis
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