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How to prove that if ${_}$ is bounded in $(C^0[0,1],‖⋅‖_∞)$, then ${_}$ is bounded in $(^0[0,1],‖⋅‖_∞)$?

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#ordinary-differential-equations #complete-spaces #sequence-of-function #cauchy-problem
590
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Condition for finite number of solutions for Cauchy problem of first order PDE

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#partial-differential-equations #initial-value-problems #cauchy-problem
47
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The maximum area of the uniqueness of the Cauchy problem for PDE

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#partial-differential-equations #characteristics #cauchy-problem
116
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Cauchy heat equation problems

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#partial-differential-equations #heat-equation #cauchy-problem
167
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differential equation of first order - omitting absolute value operator

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#calculus #ordinary-differential-equations #derivatives #absolute-value #cauchy-problem
137
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Determining the largest interval of definition of a Cauchy problem

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#ordinary-differential-equations #cauchy-problem
105
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Find a numerical solution for an ODE with an initial condition which is not at the beginning

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#ordinary-differential-equations #numerical-methods #cauchy-problem
48
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Does this PDE has solutions

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#partial-differential-equations #cauchy-problem
166
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Solving second order linear ordinary differential equation - cauchy problem

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#ordinary-differential-equations #cauchy-problem
39
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Finding a concrete diff.eq solution of non-homogeneous eq. using homogeneous eq.

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#ordinary-differential-equations #functions #derivatives #problem-solving #cauchy-problem
57
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Foward / backward Cauchy problem (with perturbation)

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#functional-analysis #ordinary-differential-equations #derivatives #partial-differential-equations #cauchy-problem
102
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Cauchy Problem For Inhomogeneous Transport Equation

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#partial-differential-equations #cauchy-problem #transport-equation
19
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ODE with perturbation of the initial time/condition

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#ordinary-differential-equations #analysis #derivatives #partial-differential-equations #cauchy-problem
989
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Cauchy problem $xu_x+yu_y=u+1$ if $u(x,x^2)=x^2$ (concern on the restrictions)

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#partial-differential-equations #cauchy-problem
54
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The Cauchy problem for a higher order differential equation

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#ordinary-differential-equations #cauchy-problem

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