Fredholm's third theorem for second-order singular Dirichlet problem

0430387 - MÚ 2015 RIV US eng J - Journal Article
Lomtatidze, Alexander - Opluštil, Z.
Fredholm's third theorem for second-order singular Dirichlet problem.
Boundary Value Problems. -, č. 59 (2014), s. 1-12. ISSN 1687-2770. E-ISSN 1687-2770
Institutional support: RVO:67985840
Keywords : singular Dirichlet problem * Fredholm's third theorem
Subject RIV: BA - General Mathematics
Impact factor: 1.014, year: 2014
http://www.boundaryvalueproblems.com/content/2014/1/59

Consider the singular Dirichlet problem u'' = p(t)u + q(t); u(a) = 0, u(b) = 0, where p, q : ]a, b[?R are locally Lebesgue integrable functions. It is proved that if b a (s - a)(b - s)[p(s)] - ds < + and b a (s - a)(b - s) ! q(s) ! ds < +, then Fredholm's third theorem remains true.
Permanent Link: http://hdl.handle.net/11104/0235325