List questions from integral-equations

Published on 08 Jun 2022 - 6:27

44

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Solving the recurrence relation $h_{n+1} = \frac{n}{n+1} h_{n}+\frac{p_{S}}{n+1}$.

Published on 13 Jul 2022 - 4:19

1.5k

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If $\phi(x)=\lambda\int_0 ^1 e^{x+t}\phi(t)dt$, then for what value of $\lambda$ does there exist a non-trivial solution?

Published on 25 Jul 2022 - 13:40

59

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How to solve this system of integro-differential equations?

Published on 25 Feb 2026 - 5:25

71

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What is the solution of this Fredholm integral equation?

Published on 28 Jul 2022 - 16:28

247

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Prove this integral equation has a unique solution?

Published on 29 Jul 2022 - 3:58

158

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Proving $\int_a^b \frac{\sqrt{(t-a)(b-t)}}{s-t}dt =\pi \left[s- \frac{a+b}{2} + \sqrt{(a-s) (b-s) } \right]$

Published on 07 Sep 2022 - 19:04

156

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If $u(x)-\sin(x)=2\int_{0}^x \cos(x-t)u(t)dt$ then $u(x)$ equals

Published on 16 Sep 2022 - 17:46

120

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How can I solve this Volterra integral equation of the second kind?

Published on 20 Sep 2022 - 15:35

83

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I am stuck on the exercise with integral equation

Published on 28 Mar 2026 - 17:39

39

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Finding Integrable Function That Satisfy Given 3 Equation

Published on 19 Oct 2022 - 13:44

31

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Fredholm integral equation --- almost of the first kind

Published on 01 Nov 2022 - 3:38

90

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Inverting integral relation

Published on 10 Nov 2022 - 16:53

56

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Proof of the Peano existence theorem using a sequence of piecewise linear functions

Published on 11 Nov 2022 - 17:32

293

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Converting an Voltera equation to an IVP

Published on 15 Nov 2022 - 0:26

List Question

Prove this inequation between two integrals

Solving the recurrence relation $h_{n+1} = \frac{n}{n+1} h_{n}+\frac{p_{S}}{n+1}$.

If $\phi(x)=\lambda\int_0 ^1 e^{x+t}\phi(t)dt$, then for what value of $\lambda$ does there exist a non-trivial solution?

How to solve this system of integro-differential equations?

What is the solution of this Fredholm integral equation?

Prove this integral equation has a unique solution?

Proving $\int_a^b \frac{\sqrt{(t-a)(b-t)}}{s-t}dt =\pi \left[s- \frac{a+b}{2} + \sqrt{(a-s) (b-s) } \right]$

If $u(x)-\sin(x)=2\int_{0}^x \cos(x-t)u(t)dt$ then $u(x)$ equals

How can I solve this Volterra integral equation of the second kind?

I am stuck on the exercise with integral equation

Finding Integrable Function That Satisfy Given 3 Equation

Fredholm integral equation --- almost of the first kind

Inverting integral relation

Proof of the Peano existence theorem using a sequence of piecewise linear functions

Converting an Voltera equation to an IVP

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