## Abstract

We consider the equation (Formula presented.) where f ∈ L_{p}(ℝ), p ∈ (1, ∞) and (Formula presented.) For particular equations of this form, we suggest some methods for the study of the question on requirements to the functions r and q under which the above equation is correctly solvable in the space L_{p}(ℝ), p ∈ (1, ∞).

Original language | English |
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Pages (from-to) | 247-272 |

Number of pages | 26 |

Journal | Czechoslovak Mathematical Journal |

Volume | 74 |

Issue number | 1 |

DOIs | |

State | Published - Apr 2024 |

### Bibliographical note

Publisher Copyright:© Institute of Mathematics, Czech Academy of Sciences 2024.

## Keywords

- 34B24
- 34B27
- Green-Liouville approximation
- correct solvability
- general Sturm-Liouville equation

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