An existence condition for the solution is established, which links to the deflection mode shape, payload inertia, and the location of boundary point. This condition indicates that for certain system parameters,
We will now consider a non-homogeneous Dirichlet boundary condition that is insufficiently regular for a lifting to exist: u|Σ = ub∈ L2(Σ). We will go back over the principle of transposition and ultra-weak formulation of Lions Magenes [LIO 68c], but we will restrict attention to the...
It is easy to see that the critical exponentp∗leads to a necessary and sufficient condition for the existence of the global solutions as above. Therefore, lots of researchers studied the critical exponent for various reaction-diffusion equations to find necessary and sufficient conditions for the ...
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The purpose of this paper is to give a necessary and sufficient condition for the existence and non-existence of global solutions of the following semilinear parabolic equations $$ u_{t}=\Delta u+\psi (t)f(u),\quad \text{in }\Omega \times (0,\infty ), $$
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This work introduces a stabilised finite element formulation for the Stokes flow problem with a nonlinear slip boundary condition of friction type. The bou
For what value of c is the function f(x) = {x^2 - 1 if x < 3, 2cx if x greaterthanorequalto 3 continuous on (-infinity, infinity)? Let f be the function f: ((1, infinity) to (1, infinity) defined by f(x)=2^{x(x-1)}. Determine a r...
What is the condition for fucntion fg^(-1) to exist ? Homework Statement what is the condition for function fg^(-1) to exist ? Homework Equations The Attempt at a Solution i understand that g^(-1) only happens when its one-one , how about fg^(-1) ? thereddevils Thread Apr 7, ...
We will now consider a non-homogeneous Dirichlet boundary condition that is insufficiently regular for a lifting to exist: u|Σ = ub∈ L2(Σ). We will go back over the principle of transposition and ultra-weak formulation of Lions Magenes [LIO 68c], but we will restrict attention to the...