On Two-point Boundary Value Problems for Second Order Singular Functional Differential Equations
| Authors | |
|---|---|
| Year of publication | 2005 |
| Type | Article in Periodical |
| Magazine / Source | Functional Differential Equations |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | second order singular functional differential equations; two-point boundary value problems; unique solvability; stability |
| Description | For the functional differential equations u(t)= f(u)(t) with the continuous operator f from C1loc(]a,b[)to L1loc(]a,b[)the unimprovable, in a certain sense, sufficient conditions for the solvability and unique solvability of the two-point boundary value problems u(a+)=0=u(b-) and u(a+)=0=u(b-) are established. These condition cover the case when for an arbitrary u the function f(u) is not integrable on [a,b], having singularities at the points a and b. |
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