Boundary value problem - Open Access .click

Complex Analysis and Operator Theory, 2014
If the boundary of a manifold has singularities, e.g., conical points or edges, then when dealing with boundary value problems, one may be forced to work with pseudo-differential operators with corner degenerated symbols. In this paper, elements of the corresponding corner pseudo-differential calculus are studied.
Chang, Der-Chen +2 more
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A Note on a Boundary Value Problem

Southeast Asian Bulletin of Mathematics, 2000
Consider Robin's boundary value problem \[ x''=f(t,x,x'),\quad a_0 x(0)-a_1 x'(0)=A,\quad b_0 x(1)-b_1 x'(1)=B, \] where \( A,B \) are arbitrary real numbers, and \(a_0, a_1, b_0, b_1 \) are nonnegative real constants. The author derives conditions on the function \(f\) and its derivatives under which there exists a unique solution to this problem.
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An Evolutionary Boundary Value Problem

Mediterranean Journal of Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aissa Benseghir, Mircea Sofonea
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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
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