Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10427126 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 17 Pages |
Abstract
We prove some existence theorems for the Cauchy problemxâ²(t)=f(t,x(t)),x(0)=x0,tâI=[0,α],using different types of integrals and its properties. The requirements on the function f are depended on types of solutions, and as possible as, close to necessary conditions. We present a brief survey of classes of solutions and we give some comparison results for them.
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Authors
MieczysÅaw CichoÅ,