Picard and weakly Picard operators technique for nonlinear differential equations in Banach spaces (Q663701)
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scientific article; zbMATH DE number 6009657
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Picard and weakly Picard operators technique for nonlinear differential equations in Banach spaces |
scientific article; zbMATH DE number 6009657 |
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Picard and weakly Picard operators technique for nonlinear differential equations in Banach spaces (English)
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27 February 2012
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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.
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nonlocal Cauchy problem
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Picard operators
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weakly Picard operators
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existence of solutions
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