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When is it the case that $\sum_{k=0}^nf(n,k) = \int_{\mathbf{R}}f(n,x) \, \mathrm{d}x$?

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#integration #sequences-and-series #summation #integral-equations
28
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Proving Boundness of Two Linear Operators

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#normed-spaces #integral-equations #unbounded-operators
239
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How to find Resolvent Kernel?

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#integral-equations
252
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Solving a Volterra Integral Equation with a Bessel Function

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#laplace-transform #bessel-functions #integral-equations
100
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Eigenvalues of second kind Fredholm integral operator

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#real-analysis #functional-analysis #eigenvalues-eigenvectors #operator-theory #integral-equations
241
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Integral equation related to the Beta distribution

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#probability #probability-distributions #integral-equations #beta-function
103
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Boundedness of solution of second kind Volterra integral equation (Proof verification )

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#real-analysis #functional-analysis #operator-theory #solution-verification #integral-equations
334
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Exponentiating a differential operator - "Pseudo-Schrodinger" equation

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#operator-theory #integral-equations #eigenfunctions
139
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Injectivity for an integral operator

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#real-analysis #functional-analysis #operator-theory #integral-equations
167
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How to prove that $u(r)=k \frac{1}{r}$ is the only solution for the integral equation $\int_{V'}\rho'\ u(r)\ dV' = constant$?

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#calculus #multivariable-calculus #mathematical-physics #integral-equations #electromagnetism
1.7k
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Solve the following integro-differential equation by Laplace transform

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#laplace-transform #integral-equations
345
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How do I solve this integral equation?

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#integration #integral-equations #trigonometric-series
123
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Exercise on eigenvalues of an Hilbert-Schimdt operator

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#functional-analysis #eigenvalues-eigenvectors #compact-operators #integral-equations
251
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Find the value of $f\left(\frac{1}{4}\right)$.

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#calculus #integration #definite-integrals #integral-equations
32
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How to solve the following integral equation

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#integral-equations

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