Results 31 to 40 of about 98 (94)
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
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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
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Nonlocal conditions for fractional differential equations [PDF]
In this work we use the method of lower and upper solutions to develop an iterative technique, which is not necessarily monotone, and combined with a fixed-point theorem to prove the existence of at least one solution of nonlinear fractional differential
DIB, Fatima +2 more
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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
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On Ulam–Hyers Stable Solutions for a Fractional Dual‐Hybrid q‐Integro‐Difference Problem
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This study deals with a theoretical analysis on a fractional q‐difference dual‐hybrid problem along with dual‐hybrid q‐integro‐difference conditions. The uniqueness of the q‐solution for the proposed q‐difference equation are analyzed via the Banach′s contraction principle. The existence of solutions is analyzed by using the Krasnoselskii′s fixed‐point
Sina Etemad +2 more
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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
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, 2021 The present study is conducted on finite difference method in Shishkin piecewise uniform mesh in a singularly perturbed boundary value problem for a nonlinear differential equation.
Arslan, Derya
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study investigates a category of high‐order sequential fractional boundary value problems involving four‐term fractional derivatives. Motivated by the nonlocal properties of fractional calculus and the limitations of available models with fewer derivatives, the solutions of a novel four‐term sequential fractional differential equation under hybrid
Debao Yan, Pramita Mishra
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A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations
Advanced Nonlinear StudiesWe consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
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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
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