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Fundamental set of solutions for ODE

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#ordinary-differential-equations #fundamental-solution
43
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Why Can Reduction of Order Automatically Find the "Defective" Fundamental Solution

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#linear-algebra #ordinary-differential-equations #systems-of-equations #fundamental-solution #reduction-of-order-ode
99
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Every solution $x(t)$ of $x′(t)=A(t)x(t)$ converges, question about the answer

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#ordinary-differential-equations #cauchy-sequences #fundamental-solution
304
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How to use D'Alembert formula for Dirichlet boundary conditions on a finite interval?

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#ordinary-differential-equations #partial-differential-equations #wave-equation #fundamental-solution
118
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Does ther exist a relation between fundamental solutions of system of ODE and its equivalent second order DE?

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#ordinary-differential-equations #derivatives #systems-of-equations #fundamental-solution
407
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Find fundamental matrix for the equation $\dot{y}=A(t)y$.

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#ordinary-differential-equations #fundamental-solution
582
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Helmholtz-Dirichlet Green's Function for unit ball - Explicit formula?

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#real-analysis #partial-differential-equations #laplacian #greens-function #fundamental-solution
232
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Solution to autonomous differential equation with locally lipscitz function

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#ordinary-differential-equations #lipschitz-functions #fundamental-solution
54
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Is it possible to find $x^2$ in terms of $a$ in $x^4 \cosh (\pi x)-\left(x^2-1\right)^4 \sinh (3 x+a)-x^2=0$?

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#trigonometry #problem-solving #fundamental-solution
111
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How to obtain the condition of having non-trivial solution in this system?

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#systems-of-equations #determinant #fundamental-solution
321
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Fundamental solution of a first order distributional equation

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#ordinary-differential-equations #distribution-theory #fundamental-solution
810
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How to find the condition of having a non-trivial solution for a non-square matrix equation?

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#systems-of-equations #determinant #matrix-equations #fundamental-solution
151
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Potential theory: Fundamental solution.

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#partial-differential-equations #potential-theory #fundamental-solution
1k
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Spherically symmetric solutions and the fundamental solution of biharmonic equation in $\mathbb R^n$

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#partial-differential-equations #spherical-coordinates #fundamental-solution
1k
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Mean value property for solution of Helmholtz equation

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#partial-differential-equations #greens-function #potential-theory #fundamental-solution

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