论文信息 - On solvability conditions for nonlinear operator equations

On solvability conditions for nonlinear operator equations

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.

I. Kiguradze | I. Kiguradze

[1] R. Conti,et al. Problèmes linéaires pour les équations différentielles ordinaires , 1961 .

[2] I. T. Kiguradze,et al. Boundary-value problems for systems of ordinary differential equations , 1988 .

[3] Z. Opial. Linear problems for systems of nonlinear differential equations , 1967 .

[4] I. Stavroulakis,et al. On Singular Boundary Value Problems for Functional Differential Equations of Higher Order , 2001 .

[5] I. Kiguradze,et al. On boundary value problems for functional-differential equations. , 1997 .

[6] B. Puza,et al. Conti-Opial type existence and uniqueness theorems for nonlinear singular boundary value problems , 2004 .