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Bifurcation of operator equations with unbounded linearized part

Bifurcation of operator equations with unbounded linearized part

The bifuraction problem for the operator equation x = λLx + G(λ, x) is considered, where L is a closed linear operator with characteristic value λ 0 , and G(λ, x) is a continuous higher order term.If I -λ 0 L is a closed Fredholm operator and either L is …