Solvability of nonlinear equations in a cone of a banach space
Copyright policy )Solvability of nonlinear equations in a cone of a banach space
The author finds a solvability conditions for the equation \(Tu+ F(u)= 0\) in the case where the operator \([T+ F'(u)]^{-1}\) exist only for \(u\in K\), where \(K\) is a cone in a Banach space \(X\). He gives an application concerning the solvability of boundary-value problems for systems of second-order differential equations.
Nonlinear boundary value problems for ordinary differential equations, cone in a Banach space, Equations involving nonlinear operators (general), boundary-value problems, systems of second-order differential equations, solvability conditions
Nonlinear boundary value problems for ordinary differential equations, cone in a Banach space, Equations involving nonlinear operators (general), boundary-value problems, systems of second-order differential equations, solvability conditions
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