List questions from integral-equations

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Is there anything that we can say about $f$ in terms of $\theta$ if $\int_0^tf(\tau)\text{d}\tau = \theta(t)\int_0^t\theta(\tau)\text{d}\tau$ is true?

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List Question

Unique solution of an ODE with a bounded positive right-hand-side

Integration of Bessel function multiplied with an algebraic and trigonometric functions.

Self-Dual Irregular Gears

Showing existence and uniqueness for a solution to a homogeneous Fredholm type integral equation of the second kind

How to obtain the explicit solution of the following integral equation

Conversion of second order ode into integral equation

Integral equation with two variables

How To Solve An Integral Equation

Is there anything that we can say about $f$ in terms of $\theta$ if $\int_0^tf(\tau)\text{d}\tau = \theta(t)\int_0^t\theta(\tau)\text{d}\tau$ is true?

Converting nonlinear ODE with neumann BC into Fredholm integral equation

Integral linear equation of Fredholm.

Integral equations and the Fredholm alternative / theory

Estimation for Scrödinger integral equation

System of linear Fredholm integral equations

Multivariate linear integral equations

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