Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841226 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 19 Pages |
Abstract
In this paper, existence results are derived for the unique, smallest, greatest, minimal and maximal solutions of nonlinear distributional Cauchy problems. Dependence of solutions on the data is also studied. The obtained results are applied to impulsive differential equations. Main tools are fixed point results in function spaces and recently introduced concepts of regulated and continuous primitive integrals of distributions.
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Authors
S. Heikkilä,