An abstract version of the resonance theorem
On the solvability of singular BVPs for second-order ordinary differential equations
The existence of bounded solutions for differential equations in Hilbert spaces
The existence of bounded solutions for equations x' = A(t)x + r(x,t) is proved, where the linear part is exponentially dichotomic and the nonlinear term r satisfies some weak conditions.
On a two-point boundary value problem for differential equations on the half-line
An inverse function theorem in Fréchet spaces without smoothing operators
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