Results 221 to 230 of about 39,932 (267)

On a nonlinear problem with Dirichlet and Acoustic boundary conditions

Applied Mathematics and Computation, 2021
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Adriano A. Alcântara   +4 more
openaire   +2 more sources

Boundary-value problems with nonlinear boundary conditions

Nonlinearity, 1988
The authors deal with a general boundary value problem of the type: \(x'=F(t,x),T(x)=y,y\in R^ n\) where \(F(t,x)=A(t)x+f(t,x)\) and T is a continuous but not necessarily linear operator. It is shown that under suitable conditions the problem has at least one solution. The proof relies on a fixed-point theorem for condensing maps.
ANICHINI, GIUSEPPE, CONTI, GIUSEPPE
openaire   +2 more sources

Nonlinear Degenerate Parabolic Equation with Nonlinear Boundary Condition

Acta Mathematica Sinica, English Series, 2005
The authors study the existence and nonexistence of global positive solutions to the following nonlinear parabolic equation with nonlinear boundary conditions \[ \begin{aligned} & (u^k)_t = \Delta_mu,\quad x \in\Omega, \quad t > 0,\\ & \nabla_m u\cdot\nu = u^{\alpha},\quad x\in \partial\Omega, \quad t > 0,\\ & u(x,0) = u_0(x),\quad x\in\bar\Omega, \end{
Sun, Wenjun, Wang, Shu
openaire   +2 more sources

On a Nonlocal BVP with Nonlinear Boundary Conditions

Results in Mathematics, 2012
The author considers the existence of a positive solution to a boundary value problem where one of the boundary conditions is allowed to be nonlocal and nonlinear, namely \[ \begin{gathered} u''(t)+f(t,u(t))=0,\;t \in (0,1),\\ u(0) =H_{1}(\varphi (u))+\int_E H_{2}(s,u(s))\,ds,\;u(1) =0.\\ \end{gathered} \] Here, \(E\) is a measurable subset of \((0,1)\)
openaire   +1 more source

A nonlinear thermoelastic system with nonlinear boundary conditions

Journal of Evolution Equations, 2015
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Clark, H. R.   +3 more
openaire   +1 more source

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