Sentence examples for boundary condition of type from inspiring English sources

We arrive to a boundary condition of type, where.

Problems with a nonlinear nonlocal boundary condition of type (1.1) occur in many fields like pharmacokinetics, neural networks, epidemiology models etc, see e.g. [[9], Section 10.2].

Theorem 2.1 Consider the system (1) with a regular pencil and boundary conditions of type (2).

The initial and boundary conditions of type (1.2) and (1.3) are prescribed.

where L 1 k are boundary conditions of type (24) on ( 0, b 1 ).

Theorem 3.1 Consider the system (1) with a singular pencil and known boundary conditions of type (2).

These are remarkably different phenomena from those with downstream boundary conditions of type (I) and (II); see, for example, [5, 6].

where L k 1 ε 1 are boundary conditions of type (3.2), B ε 2 is the operator acting in X 0 and X defined by.

In recent years the development of numerical methods for the solution of nonlinear hyperbolic partial differential equations of type (1.1) with initial and boundary conditions of type (1.2 - 1.3 1.2 - 1.3 of great importance in many branchas of science and engineering.

The quasilinear parabolic problems with dynamic boundary conditions of type (1.1 - 1.3 1.1 - 1.3 numerous arise such as heat conductinnumerouscareasactor theory, colloid chemisuch asd population growtheatee [1, 2] and the referenconductionn.

In [1], by using a fixed point theorem for the sum of two operators due to O'Regan [2], we obtained existence of solutions for a fully nonlinear fourth-order equation with integral boundary conditions of type left {textstylebegin{array}{l} x^{(4)}(t)=f t,x t),x'(t),x t),x"'(t)), quad tin[0,1], x 0)=x'(1)=x"'(1)=0, x"(0)=int_{0}^{1}h(s, x s),x'(s),x"(s)), mathrm{d}s.