Results 31 to 40 of about 623 (90)
Generalized Green′s functions for higher order boundary value matrix differential systems
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 3, Page 523-535, 1992., 1992 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
Positive and increasing solutions of perturbed Hammerstein integral equations with derivative dependence [PDF]
Discrete & Continuous Dynamical Systems - B, 2020, 25 (2) :
691-699, 2019 We discuss the existence and non-existence of non-negative, non-decreasing solutions of certain perturbed Hammerstein integral equations with derivative dependence. We present some applications to nonlinear, second order boundary value problems subject to fairly general functional boundary conditions.
arxiv +1 more source
Open Mathematics, 2016 We develop the existence theory for sequential fractional differential equations involving Liouville-Caputo fractional derivative equipped with anti-periodic type (non-separated) and nonlocal integral boundary conditions.
Aqlan Mohammed H. +3 more
doaj +1 more source
New criteria for the existence of non-trivial fixed points in cones [PDF]
, 2013 We give new criteria for the existence of nontrivial fixed points on cones assuming some monotonicity of the operator on a suitable conical shell. Moreover, we give an application to the existence of multiple solutions for a nonlocal boundary value ...
Alberto Cabada +2 more
core +2 more sources
Generalized two point boundary value problems. existence and uniqueness
International Journal of Stochastic Analysis, Volume 5, Issue 2, Page 147-156, 1992., 1991 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
Continuous dependence and differentiation of solutions of finite difference equations
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 4, Page 747-756, 1991., 1991 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
Infinite and finite dimensional Hilbert tensors
, 2014 For an $m$-order $n-$dimensional Hilbert tensor (hypermatrix) $\mathcal{H}_n=(\mathcal{H}_{i_1i_2\cdots i_m})$, $$\mathcal{H}_{i_1i_2\cdots i_m}=\frac1{i_1+i_2+\cdots+i_m-m+1},\ i_1,\cdots, i_m=1,2,\cdots,n$$ its spectral radius is not larger than $n^{m ...
Qi, Liqun, Song, Yisheng
core +1 more source
Nonnegative solutions for a system of impulsive BVPs with nonlinear nonlocal BCs [PDF]
Nonlinear Analysis: Modelling and Control, 19, (2014), 413-431, 2014 We study the existence of nonnegative solutions for a system of impulsive differential equations subject to nonlinear, nonlocal boundary conditions. The system presents a coupling in the differential equation and in the boundary conditions. The main tool that we use is the theory of fixed point index for compact maps.
arxiv +1 more source
Optimality and existence for Lipschitz equations
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 2, Page 267-274, 1988., 1987 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
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 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