Nonlocal boundary value problem
On a difference scheme of second order of accuracy for the Bitsadze-Samarskii type nonlocal boundary-value problem
... The paper is organized as follows. In Section the second order of the accuracy differ- ence scheme for the approximate solution () is presented. The stability, the almost coer- cive stability, and the coercive ...
19
Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order
... the boundary value problem has attained a great deal of attention from many researchers, see 4–11 and the references ...the nonlocal boundary condition can be more use- ful than the ...
16
Two numerical methods for fractional partial differential equation with nonlocal boundary value problem
... The exact solution of fractional telegraph partial differential equation of nonlocal boundary value problem is obtained. The theorem of stability estimates is presented for this equation. ...
19
Radial solutions for a nonlocal boundary value problem
... The purpose of this paper is twofold. First, we want to improve a quite recent result of Fijałkowski and Przeradzki [5]: these authors have obtained existence of positive radial solutions of (1.1) by using ...
18
Solvability of a nonlocal boundary value problem for linear functional differential equations
... with λ ∈ R, which in turn contains the initial condition (if λ = ), the periodic condition (if λ = ), and the anti-periodic condition (if λ = –). Problem (), () is studied, e.g., in [, –]. In [, ], ...
22
Existence of Positive Solutions to a Nonlocal Boundary Value Problem with Laplacian onTime Scales
... Due to the unification of the theory of differential and difference equations, there have been many investigations working on the existence of positive solutions to boundary value problems for dynamic ...
15
Solvability of nonlocal boundary value problem for a class of nonlinear fractional differential coupled system with impulses
... This paper is considered with a class of nonlinear fractional differential coupled system with fractional differential boundary value conditions and impulses. By means of the Banach contraction principle and ...
17
Multiplicity and uniqueness results for the singular nonlocal boundary value problem involving nonlinear integral conditions
... In this paper, using fixed point index and the mixed monotone technique, we present some multiplicity and uniqueness results for the singular nonlocal boundary value problems involving nonlinear ...
22
Positive solutions for a singular fractional nonlocal boundary value problem
... We investigate a singular fractional differential equation with an infinite-point fractional boundary condition, where the nonlinearity f(t, x) may be singular at x = 0, and g(t) may also have singularities at t = 0 ...
8
Existence of Solutions to a Nonlocal Boundary Value Problem with Nonlinear Growth
... The purpose of this paper is to study the existence of solutions for nonlocal BVP 1.1, 1.2 at resonance case i.e., g1 1 and establish some existence results under nonlinear growth restriction of f . Our method is ...
15
Nonlocal Four-Point Boundary Value Problem for the Singularly Perturbed Semilinear Differential Equations
... of nonlocal boundary value problem is complicated by the fact that there are the inner points in the boundary conditions, in contrast to the “standard” boundary conditions as the ...
9
Finite difference method for boundary value problem for nonlinear elliptic equation with nonlocal conditions
... In the paper the convergence of a finite difference scheme for two-dimensional nonlinear elliptic equation in the rectangular domain with the integral boundary condition is considered. The majorant is constructed ...
16
On a nonlocal integral boundary value problem of nonlinear Langevin equation with different fractional orders
... In this paper we develop the existence theory for a nonlinear Langevin equation involving Caputo fractional derivatives of different orders and Riemann–Liouville fractional integral supplemented with nonlocal ...
14
THE HYPERBOLIC SYSTEM OF EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
... and nonlocal boundary value problems for partial differential equations can be considered as an abstract boundary value problem for the ordinary differential equation in a Banach ...
25
Influence of weight functions to a nonlocal p Laplacian evolution equation with inner absorption and nonlocal boundary condition
... initial boundary value problems of equations with or without nonlocal boundary conditions; see [–] and references ...initial boundary value problem for a local ...
10
Existence of Positive Solutions for Nonlocal Fourth-Order Boundary Value Problem with Variable Parameter
... multipoint boundary value problems has been studied by many authors using nonlinear alternatives of Leray-Schauder, the fixed point theory, and the method of upper and lower solutions see, ...multipoint ...
11
On nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equations
... The studies of existence and uniqueness results for the initial value problems for Hahn difference equations were presented in 2013 by Hamza et al. [19, 20] by using the method of successive approximations. In ...
17
On nonlocal Neumann boundary value problem for a second order forward \((\alpha,\beta)\) difference equation
... In this paper, we present some properties of the forward ( α , β )-difference operators, and the existence results of two nonlocal boundary value problems for second-order forward ( α , β )-difference ...
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On nonlocal three-point boundary value problems of Duffing equation with mixed nonlinear forcing terms
... The Duffing equation is a mathematical representation of the oscillator. Both the equation and oscillator are prone to many output waveforms. One of the simplest waveforms includes simple harmonic motion like a pendulum. ...
11
Initial boundary value problem with a nonlocal condition for a viscosity equation
... a nonlocal boundary condition. The precise statement of the problem is as follows: let β > 0, T > 0, and Q = {(x,t) ∈ R 2 : α < x < β, 0 < t < T} ...
12