Sentence examples for boundary value problems like from inspiring English sources

Recently, there is much attention focused on the study of the boundary value problems like (1.1) which the nonlinear term is involved with the first-order derivative explicitly.

Typical examples for such boundary conditions are dynamic boundary conditions or linearized free boundary value problems like in the Stefan problem.

In the present paper we initiate the study of boundary value problems like (1.1 - 1.2 1.1 - 1.2h we combine Riemann-Liouville fractional differential equations subject to the Hadamard fractional integral boundary conditions.

Moreover, nonlocal boundary value problems like (1.3) can be used for modeling several physical and biological systems where u describes a process which depends on the average of itself, such as the population density [23 26].

We develop some abstract critical point theory in order to prove that boundary value problems like the model problem[formula] on a bounded domain Ω⊂RN, 2

Many physical phenomena are modeled by nonclassical parabolic boundary value problems with nonlocal boundary conditions.

This paper investigates the existence of solutions for weighted -Laplacian impulsive integro-differential system periodic-like boundary value problems via Leray-Schauder's degree.

In this section, we will discuss the existence of solutions of variable exponent mean curvature impulsive system periodic-like boundary value problems, i.e. the existence of solutions of (1 -(4).

By constructing an available integral operator and combining Krasnosel'skii-Zabreiko fixed point theorem with properties of Green's function, this paper shows the existence of multiple positive solutions for a class of m-point second-order Sturm-Liouville-like boundary value problems on time scales with polynomial nonlinearity.

In this paper, we study the existence of solutions of a class of higher-order integro-differential boundary value problems with ϕ-Laplacian like operator and functional boundary conditions.

By giving the definition of a pair of coupled lower and upper solutions and some new hypotheses, we obtain some new existence results for boundary value problems with ϕ-Laplacian like operator by employing the Schauder fixed point theorem and an appropriate Nagumo condition.