Banach space bifurcation theory
Banach space bifurcation theory
We consider the bifurcation problem for the nonlinear operator equation <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="x equals lamda upper L x plus upper T left-parenthesis lamda comma x comma y right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>x</mml:mi> <mml:mo>=</mml:mo> <mml:mi>λ<!-- λ --></mml:mi> <mml:mi>L</mml:mi> <mml:mi>x</mml:mi> <mml:mo>+</mml:mo> <mml:mi>T</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>λ<!-- λ --></mml:mi> <mml:mo>,</mml:mo> <mml:mi>x</mml:mi> <mml:mo>,</mml:mo> <mml:mi>y</mml:mi> …