List questions from sturm-liouville

Published on 24 Nov 2023 - 20:37

75

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The existence of a solution to $-(pU')' + qU = f$ on $(0, 1)$ with boundary condition $U(1) = 0$

Published on 25 Nov 2023 - 10:03

55

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Brezis' exercise 8.21.3: if $k \neq k_0$ and $f \in L^2(I)$ then problem $(2)$ admits a unique solution $u \in H^2(I)$

Published on 26 Nov 2023 - 21:21

74

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Help Solving and Understanding a Temperature Problem

Published on 28 Nov 2023 - 0:12

60

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Substitution on a Temperature Problem

Published on 29 Nov 2023 - 1:00

38

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How to estimate eigenvalues of Sturm-Liouville ODE whose solutions are not known

Published on 05 Dec 2023 - 8:02

49

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The well-posedness of $-(p u')' + q u=f$ on $(0, 1)$ with boundary conditions $u'(0)= u'(1)=0$

Published on 05 Dec 2023 - 20:00

21

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Brezis' exercise 8.26.6: if $k_1 \ge k_2 \ge 0$ then $S_{k_2} - S_{k_1} \ge 0$

Published on 05 Dec 2023 - 21:29

96

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Find the Green’s function corresponding to the Sturm-Liouville problem

Published on 27 Mar 2026 - 12:02

67

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Solve and integral equation with symmetric kernel

Published on 27 Mar 2026 - 7:47

136

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Identifying eigenvalue and eigenfunctions of Sturm Liouville Problem

Published on 27 Mar 2026 - 0:10

129

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Completeness of system of eigenfunctions of Hermitian and Sturm-Liouville operators

Published on 27 Mar 2026 - 1:53

139

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Sturm-Liouville problem with singular weight

Published on 27 Mar 2026 - 0:10

43

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Third-order PDE and Fourier series

Published on 05 Jan 2024 - 2:45

90

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Brezis' exercise 8.31.2: if $\int_I f=0$ then $\|u\|_{L^2(I)} \leq \frac{1}{(1+\pi^2)} \|f\|_{L^2(I)}$

Published on 05 Jan 2024 - 21:00

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Brezis' hint for exercise 8.21.1: how to obtain $1 \leq \|v_0' \|_1$?

The existence of a solution to $-(pU')' + qU = f$ on $(0, 1)$ with boundary condition $U(1) = 0$

Brezis' exercise 8.21.3: if $k \neq k_0$ and $f \in L^2(I)$ then problem $(2)$ admits a unique solution $u \in H^2(I)$

Help Solving and Understanding a Temperature Problem

Substitution on a Temperature Problem

How to estimate eigenvalues of Sturm-Liouville ODE whose solutions are not known

The well-posedness of $-(p u')' + q u=f$ on $(0, 1)$ with boundary conditions $u'(0)= u'(1)=0$

Brezis' exercise 8.26.6: if $k_1 \ge k_2 \ge 0$ then $S_{k_2} - S_{k_1} \ge 0$

Find the Green’s function corresponding to the Sturm-Liouville problem

Solve and integral equation with symmetric kernel

Identifying eigenvalue and eigenfunctions of Sturm Liouville Problem

Completeness of system of eigenfunctions of Hermitian and Sturm-Liouville operators

Sturm-Liouville problem with singular weight

Third-order PDE and Fourier series

Brezis' exercise 8.31.2: if $\int_I f=0$ then $\|u\|_{L^2(I)} \leq \frac{1}{(1+\pi^2)} \|f\|_{L^2(I)}$

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