Weak solutions of a boundary value problem for nonlinear ordinary differential equation of second order in Banach spaces. (English) Zbl 0782.34067
Summary: Using the measure of weak noncompactness we give sufficient conditions for the existence of a weak solution of a boundary value problem for the equation \(x''= f(t,x,x')\) in Banach space.
MSC:
| 34G20 | Nonlinear differential equations in abstract spaces |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
Keywords:
measure of weak noncompactness; existence of a weak solution; boundary value problem; Banach spaceReferences:
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