Sentence examples for boundary value problem considered from inspiring English sources

Weight classes of uniqueness for the boundary value problem considered in the work are found.

which is precisely Green's function for the periodic boundary value problem considered in [25, 26].

It is noted that the boundary value problem considered has a derivative-dependent nonlinear term, which makes the investigation much more challenging.

It should be noted that if the boundary value problem considered is self-adjoint, then the eigenvalues are real, otherwise the complex eigenvalues will occur as conjugate pairs.

Although the paper by Han and Kang [11] explores positive solutions in the non-resonant setting of a dynamic equation on a measure chain with Sturm Liouville boundary conditions in place of our functional conditions, it is also relevant since it bears some similarity to the boundary value problem considered herein.

For example, heat conduction, chemical engineering, underground water flow, and plasma physics can be reduced to boundary value problems with integral conditions, which included, as special cases, two-point, three-point and multi-point boundary value problems considered by many authors (see [1] [5]).

Most research papers on boundary value problems consider nonlinear terms that involve y only, and derivative-dependent nonlinearities are seldom tackled as special techniques are required.

Note that the nonlinear term F involves a derivative of the dependent variable--this is seldom studied in the literature and most research articles on boundary value problems consider nonlinear terms that involve y only.

Consider the boundary value problem (see, [22]) (5.1).

The following ninth order nonlinear boundary value problem is considered as begin{aligned} left.

The following eighth order linear boundary value problem is considered as begin{aligned} left.