Weak Solutions of $(p(x)u'(x))' + g(x)u'(x) + qu(x) = f$ with $q,f \in H_{ - 1} [a,b]$, $0 < p(x) \in L_\infty [a,b]$, $g(x) \in L_\infty [a,b]$ and $u \in H_1 [a,b]$

DOI10.1137/0510118zbMath0444.34005OpenAlexW2092600201MaRDI QIDQ3887769

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Publication date: 1979

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0510118

zbMATH Keywords

weak solutionsMikusinski sequences

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear ordinary differential equations and systems (34A30)

Related Items (3)

Linear differential operators with distribution coefficients of various singularity orders ⋮ The leading term of the asymptotics of solutions of linear differential equations with first-order distribution coefficients ⋮ Sturm–Liouville operators

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