Sentence examples for boundary value problem depending from inspiring English sources
Applying the discrete Laurent transform and its properties, such an equation can be changed into a discrete boundary value problem depending on some parameter, here we call it 'a discrete jump problem'.
By using an infinitely many critical points theorem, we study the existence of infinitely many solutions for a fourth-order nonlinear boundary value problem, depending on two real parameters.
Such equations can be changed into either a system of discrete equations or a discrete jump problem (that is, discrete boundary value problems) depending on some parameter via the discrete Laurent transform.
In [4, 5], Ma and Thompson obtained the multiplicity results for a class of second-order two-point boundary value problems depending on a positive parameter by using bifurcation theory.
The number of eigenvalues that a particular boundary value problem has depends on the form of the boundary conditions and the theorem below was proved in [4].
end{gathered} The proof of the existence results for boundary value problem (1.1 - 1.2 1.1 - 1.2on q-Lidependsponynomials and the Arzela-Ascoli theorem [21].
The membrane potential satisfied a second-order boundary value problem that depends on the channel distribution, the concentration of Ca2+, and time.
In one of these problems the solution of an initial/boundary value problem depends on the boundary data in a discontinuous, fractal, manner.
In the present work, our study of the complementary Lidstone boundary value problem (1.1) where F depends on a derivative certainly extends and complements the rich literature on boundary value problems and notably on Lidstone boundary value problems.
In the present study, our study of the complementary Lidstone boundary value problem (1.1) where F depends on a derivative certainly extends and complements the rich literature on boundary value problems and in particular on Lidstone boundary value problems.
We use the Krasnosel'skii fixed point theorem to obtain the sufficient conditions of the existence of two positive solutions for the boundary value problem of fractional difference equations depending on parameters.
