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arXiv · 2210.02911

Principal fundamental system of solutions, The Hartman-Wintner problem and correct solvability of the general Sturm-Liouville equation

N. Chernyavskaya·L. Shuster
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Abstract

We study the problem of correct solvability in the space $L_p(\mathbb R),$ $p\in[1,\infty)$ of the equation $$ -(r(x) y'(x))'+q(x)y(x)=f(x),\quad x\in \mathbb R $$ under the conditions $$r>0,\quad q\ge 0,\quad \frac{1}{r}\in L_1(\mathbb R),\quad q\in L_1(\mathbb R).$$

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N. Chernyavskaya, L. Shuster. 2022-10-06. Principal fundamental system of solutions, The Hartman-Wintner problem and correct solvability of the general Sturm-Liouville equation. https://arxiv.org/abs/2210.02911

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