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List of Equations

The database contains 327 equations (8 equations are awaiting activation).

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Found 327 equations, 33 pages (10 eqs. per page): << 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 >>
 CategoryEquation(s)Author/
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301 5. Integral Equations
5.3. Linear Equations of the First Kind with Constant Limits of Integration
$\displaystyle g(s)=s\int_{0}^{\infty}dtK(st)f(t)$,\hfill\break
where the Kernel  has a Mellin transform integral 

$\displaystyle \int_{0}^{\infty}dtK(t)t^{s-1}=F(s)$.\hfill\break Jose Javier Garcia
Submitted: 16 Aug 13 16:22
Edited (admin): 01 Sep 13 11:03
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302 5. Integral Equations
5.3. Linear Equations of the First Kind with Constant Limits of Integration
$\displaystyle \int^{1}_{0}w(y)\sinh[(y-x)\sqrt{p}]dy=0 $,\hfill\break
where $p$ is a complex parameter. Kwassi Anani
Submitted: 28 Dec 09 13:18
Edited (admin): 01 Sep 13 11:47
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303 5. Integral Equations
5.4. Linear Equations of the Second Kind with Constant Limits of Integration
$\displaystyle y(x)+\int^{\infty}_{-\infty}\bl[\lambda e^{-|x-t|}+\varphi(x)\psi(t)]y(t)\,dt=f(x)$. Andrei Polyanin
Submitted: 03 Jul 07 16:10
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304 5. Integral Equations
5.4. Linear Equations of the Second Kind with Constant Limits of Integration
$\displaystyle y(x)-\int^\infty_0[\lambda\sin(xt)+\varphi(x)\psi(t)]y(t)\,dt=f(x)$. Andrei Polyanin
Submitted: 03 Jul 07 16:14
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305 5. Integral Equations
5.4. Linear Equations of the Second Kind with Constant Limits of Integration
$\displaystyle y(x)-\int^\infty_0[\lambda\cos(xt)+\varphi(x)\psi(t)]y(t)\,dt=f(x)$. Andrei Polyanin
Submitted: 03 Jul 07 16:18
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306 5. Integral Equations
5.4. Linear Equations of the Second Kind with Constant Limits of Integration
$\displaystyle 
y(x)+\lambda\int^\infty_0tJ_\nu(xt)y(t)\,dt=f(x),\qquad \nu>-1$. Andrei Polyanin
Submitted: 01 Aug 07 10:01
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307 5. Integral Equations
5.5. Nonlinear Equations with Variable Limit of Integration
$\displaystyle \int^x_0f(t/x)y(t)y(x-t)\,dt=Ax^\mu e^{\lambda x}$. Andrei Polyanin
Submitted: 01 Aug 07 10:27
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308 5. Integral Equations
5.6. Nonlinear Equations with Constant Limits of Integration
$\displaystyle \int^\infty_0[\sin(xt)y(t)+\varphi(x)\psi(t)y^2(t)]\,dt=f(x)$. Andrei Polyanin
Submitted: 03 Jul 07 17:02
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309 5. Integral Equations
5.6. Nonlinear Equations with Constant Limits of Integration
$\displaystyle \int^\infty_0[\cos(xt)y(t)+\varphi(x)\psi(t)y^2(t)]\,dt=f(x)$. Andrei Polyanin
Submitted: 03 Jul 07 17:05
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310 5. Integral Equations
5.6. Nonlinear Equations with Constant Limits of Integration
$\displaystyle \int^\infty_0[\sin(xt)+\varphi(x)\Psi(t,y(t))]y(t)\,dt=f(x)$. Andrei Polyanin
Submitted: 03 Jul 07 17:07
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Found 327 equations, 33 pages (10 eqs. per page): << 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 >>

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