Bifurcation of solutions of the second order boundary value problems in the Hilbert spaces
O.A. Pokutnyi
TL;DR
This paper investigates the conditions under which solutions exist for second order boundary value problems in Hilbert spaces, covering both linear and perturbed cases, advancing theoretical understanding in this area.
Contribution
It provides new existence conditions for solutions of second order boundary value problems in Hilbert spaces, including perturbed equations.
Findings
Derived existence conditions for linear boundary value problems.
Extended results to perturbed linear problems.
Contributed to the theoretical framework of boundary value problems in Hilbert spaces.
Abstract
Conditions of the existence of solutions of linear and perturbed linear boundary value problems in the Hilbert spaces for the second order evolution equation are obtained.
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Taxonomy
TopicsDifferential Equations and Numerical Methods · Differential Equations and Boundary Problems · Material Science and Thermodynamics