Title of article
On solvability conditions for nonlinear operator equations
Author/Authors
Kiguradze، نويسنده , , I.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
11
From page
1914
To page
1924
Abstract
New sufficient conditions are found for solvability and unique solvability of nonlinear operator equations in the Banach space. In particular, abstract analogues of the Conti–Opial-type theorems are established, which concern the solvability of nonlinear boundary value problems. On the basis of these results, new sufficient conditions are obtained for the solvability of a periodic problem at resonance for nonlinear higher-order functional differential equations.
Keywords
A priori boundedness principle , Nonlinear functional differential equation , Periodic problem at resonance , Conti–Opial-type theorem , Nonlinear operator equation in a Banach space
Journal title
Mathematical and Computer Modelling
Serial Year
2008
Journal title
Mathematical and Computer Modelling
Record number
1595897
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