Sentence examples for boundary value problems involves from inspiring English sources

Much of the work on the existence of solutions to the boundary value problems involves second-order differential equations.

In this paper, we have discussed the existence of solutions for third-order single-valued and multi-valued boundary value problems involving anti-periodic type integral boundary conditions and multi-strip boundary conditions.

Initial and boundary value problems involving multivalued maps have been studied by many researchers.

In [18], the authors studied different kinds of boundary value problems involving sequential fractional differential equations.

For more details of boundary value problems involving integral boundary conditions; see for instance, [25 34] and references therein.

Typically engineering desired boundary value problems involve simulations designed to control energy absorption under complex crash scenarios.

A maximum principle is introduced that enables approximate solutions to be found for boundary value problems involving plastic compaction.

Therefore, boundary value problems involving integral boundary conditions have been studied by many authors [6, 7, 26 31] (see also references therein).

Some recent results on fractional-order boundary value problems involving nonlocal and integral boundary conditions can be found in [9 20] and the references cited therein.

We introduce a more general class of fractional-order boundary value problems involving non-separated type multi-point and multi-strip boundary conditions.

We can solve different kinds of boundary value problems involving integral (classical) and multi-point boundary conditions by applying the method of proof used for Lemma 3.1.