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New posts in integral-equations
Generalizing Archimedes' "The Quadrature of the Parabola"
calculus
integration
geometry
ordinary-differential-equations
integral-equations
Solving for endpoints given by two integral equations
probability
statistics
numerical-methods
integral-equations
Numerical solution of an integral equation
numerical-methods
matlab
integral-equations
Find a continuous function $f$ that satisfies...
calculus
integration
ordinary-differential-equations
integral-equations
Find all functions: $\left ( \int \frac{dx}{f(x)} \right )\left ( \int f(x)dx \right )=c$
calculus
integral-equations
How to show the solution so this Fredholm integral is unique?
functional-analysis
measure-theory
operator-theory
integral-equations
Can we bound from above sub-solutions of Volterra integral equations? (Nonlinear Gronwall's Lemma)
real-analysis
integral-equations
Why solving a differentiated integral equation might eventually lead to erroneous solutions of the original problem?
real-analysis
integration
analysis
definite-integrals
integral-equations
if $f(x)-a\int_x^{x+1}f(t)~dt$ is constant, then $f(x)$ is constant or $f(x)=Ae^{bx}+B$
integral-equations
Intuition for Fredholm operators?
functional-analysis
partial-differential-equations
operator-theory
integral-equations
Solution of an integral equation $\phi(x)+\int^1_0 xt(x+t)\phi(t)\,dt=x $ , $0 \le x \le 1 $
integral-equations
Solve these functional equations: $\int_0^1\!{f(x)^2\, \mathrm{dx}}= \int_0^1\!{f(x)^3\, \mathrm{dx}}= \int_0^1\!{f(x)^4\, \mathrm{dx}}$
functions
definite-integrals
functional-equations
integral-equations
Volterra integral equation of second type solve using resolvent kernel
integral-equations
Eigenvalues and eigenfunctions for the Fredholm integral operator $K(g) = \int_0^1 e^{x t} g(t) \, dt$.
analysis
functional-analysis
integral-equations
Volterra integral equation with variable boundaries
functional-analysis
integral-equations
Spectrum of Indefinite Integral Operators
functional-analysis
spectral-theory
integral-equations
Do you lose solutions when differentiating to solve an integral equation?
ordinary-differential-equations
integral-equations
Why are mathematician so interested to find theory for solving partial differential equations but not for integral equation?
ordinary-differential-equations
partial-differential-equations
soft-question
integral-equations
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