Results 31 to 40 of about 732 (114)
Existence of solution for third-order three-point boundary value problem
By imposing some conditions on the nonlinear term f , we construct a lower solution and an upper solution to prove the existence of a solution for a type of nonlinear third-order nonlocal boundary value problem. Our main tools are the upper and the lower
N. Bouteraa, S. Benaicha
semanticscholar +1 more source
Generalized Green′s functions for higher order boundary value matrix differential systems
In this paper, a Green′s matrix function for higher order two point boundary value differential matrix problems is constructed. By using the concept of rectangular co‐solution of certain algebraic matrix equation associated to the problem, an existence condition as well as an explicit closed form expression for the solution of possibly not well‐posed ...
R. J. Villanueva, L. Jodar
wiley +1 more source
Generalized two point boundary value problems. existence and uniqueness
An algorithm is presented for finding the pseudo‐inverse of a rectangular matrix. Using this algorithm as a tool, existence and uniqueness of solutions to two point boundary value problems associated with general first order matrix differential equations are established.
K. N. Murty, S. Sivasundaram
wiley +1 more source
In this paper, we study the existence and uniqueness of solution for a problem consisting of a sequential nonlinear fractional Caputo-Langevin equation with nonlocal Riemann-Liouville fractional integral conditions.
W. Yukunthorn, S. Ntouyas, J. Tariboon
semanticscholar +1 more source
Continuous dependence and differentiation of solutions of finite difference equations
Conditions are given for the continuity and differentiability of solutions of initial value problems and boundary value problems for the nth order finite difference equation, u(m + n) = f(m, u(m), u(m + 1), …, u(m + n − 1)), m ∈ ℤ.
Johnny Henderson, Linda Lee
wiley +1 more source
Tensor Complementarity Problem and Semi-positive Tensors
The tensor complementarity problem $(\q, \mathcal{A})$ is to $$\mbox{ find } \x \in \mathbb{R}^n\mbox{ such that }\x \geq \0, \q + \mathcal{A}\x^{m-1} \geq \0, \mbox{ and }\x^\top (\q + \mathcal{A}\x^{m-1}) = 0.$$ We prove that a real tensor $\mathcal ...
Qi, Liqun, Song, Yisheng
core +1 more source
In this paper, we study the existence of solutions for Riemann-Liouville type integro-differential equations of fractional order α∈(2,3] with nonlocal three-point fractional boundary conditions via Sadovskii’s fixed point theorem for condensing maps.
R. Agarwal+3 more
semanticscholar +1 more source
Optimality and existence for Lipschitz equations
Solutions of certain boundary value problems are shown to exist for the nth order differential equation y(n) = f(t, y, y′, …, y(n−1)), where f is continuous on a slab (a, b) × Rn and f satisfies a Lipschitz condition on the slab. Optimal length subintervals of (a, b) are determined, in terms of the Lipschitz coefficients, on which there exist unique ...
Johnny Henderson
wiley +1 more source
Langevin equation in terms of conformable differential operators
In this paper, we establish sufficient criteria for the existence of solutions for a new kind of nonlinear Langevin equation involving conformable differential operators of different orders and equipped with integral boundary conditions.
Ahmad Bashir+3 more
doaj +1 more source
Some nonlinear second order equation modelling rocket motion [PDF]
In this paper, we consider a nonlinear second order equation modelling rocket motion in the gravitational field obstructed by the drag force.
Bors, Dorota, Stańczy, Robert
core