Results 21 to 30 of about 535 (71)
Advanced Nonlinear Studies, 2021 The existence of at least one positive solution to a large class of both integer- and fractional-order nonlocal differential equations, of which one model case ...
Goodrich Christopher S.
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On the existence of solution of a two‐point boundary value problem in a cylindrical floating zone
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 10, Page 669-677, 2001., 2001 Existence of one solution for a two‐point boundary value problem with a positive parameter Q arising in the study of surface‐tension‐induced flows of a liquid metal or semiconductor is studied. On the basis of the upper‐lower solution method and Schauder′s fixed point theorem, it is proved that the problem admits a solution when 0 ≤ Q ≤ 12.683.
Shi Yongdong, Du Liangsheng
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On the lifespan of classical solutions to a non-local porous medium problem with nonlinear boundary conditions [PDF]
, 2019 In this paper we analyze the porous medium equation \begin{equation}\label{ProblemAbstract} \tag{$\Diamond$} %\begin{cases} u_t=\Delta u^m + a\io u^p-b u^q -c\lvert\nabla\sqrt{u}\rvert^2 \quad \textrm{in}\quad \Omega \times I,%\\ %u_\nu-g(u)=0 & \textrm ...
Marras, Monica +2 more
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Solvability of a multi‐point boundary value problem of Neumann type
Abstract and Applied Analysis, Volume 4, Issue 2, Page 71-81, 1999., 1999 Let f : [0, 1] × ℝ2 → ℝ be a function satisfying Carathéodory′s conditions and e(t) ∈ L1[0, 1]. Let ξi ∈ (0, 1), ai ∈ ℝ, i = 1, 2, …, m − 2, 0 < ξ1 < ξ2 < ⋯<ξm−2 < 1 be given. This paper is concerned with the problem of existence of a solution for the m‐point boundary value problem x″(t)=f(t,x(t),x′(t))+e(t),010
Chaitan P. Gupta, Sergei Trofimchuk
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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
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Existence theorems for a second order m‐point boundary value problem at resonance
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 4, Page 705-710, 1995., 1994 Let f : [0, 1] × R2 → R be function satisfying Caratheodory′s conditions and e(t) ∈ L1[0, 1]. Let η ∈ (0, 1), ξi ∈ (0, 1), ai ≥ 0, i = 1, 2, …, m − 2, with , 0 < ξ1 < ξ2 < …<ξm−2 < 1 be given. This paper is concerned with the problem of existence of a solution for the following boundary value problems Conditions for the existence of a solution for the ...
Chaitan P. Gupta
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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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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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Tensor Complementarity Problem and Semi-positive Tensors
, 2015 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
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