Results 11 to 20 of about 317,930 (233)
Monotone Iterative and Upper–Lower Solution Techniques for Solving the Nonlinear ψ−Caputo Fractional Boundary Value Problem [PDF]
Fractal and Fractional, 2021 The objective of this paper is to study the existence of extremal solutions for nonlinear boundary value problems of fractional differential equations involving the ψ−Caputo derivative CDa+σ;ψϱ(t)=V(t,ϱ(t)) under integral boundary conditions ϱ(a)=λIν;ψϱ ...
Abdelatif Boutiara +3 more
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Lower and Upper Solutions for Even Order Boundary Value Problems
Mathematics, 2019 In this paper, we prove the existence of solutions of nonlinear boundary value problems of arbitrary even order using the lower and upper solutions method.
Alberto Cabada, Lucía López-Somoza
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On Fuzzy Differential Inequalities with Upper and Lower Solutions
Journal of New Theory, 2021 In this article, by using the technique of upper and lower solutions, some comparison results for first-order fuzzy differential equations are established. Hukuhara derivative, Hukuhara difference, and partial orderings are used for proving theorems.
Ali Yakar, Seda Çağlak
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On the Caputo-Hadamard fractional IVP with variable order using the upper-lower solutions technique
AIMS Mathematics, 2022 <abstract><p>This paper studies the existence of solutions for Caputo-Hadamard fractional nonlinear differential equations of variable order (CHFDEVO). We obtain some needed conditions for this purpose by providing an auxiliary constant order system of the given CHFDEVO.
Zoubida Bouazza +6 more
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Nonlinear hemivariational inequalities of second order using the method of upper-lower solutions [PDF]
Proceedings of the American Mathematical Society, 2003 In this paper we examine a nonlinear hemivariational inequality of second order. The differential operator is set-valued, nonlinear and depends on both x x
Kourogenis, Nikolaos C. +1 more
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Nonlinear Analysis: Modelling and Control, 2022 In this paper, we are concerned with the eigenvalue problem of Hadamard-type singular fractional differential equations with multi-point boundary conditions. By constructing the upper and lower solutions of the eigenvalue problem and using the properties of the Green function, the eigenvalue interval of the problem is established via Schauder’s fixed ...
Xinguang Zhang +4 more
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Minimal wave speed of competitive lattice dynamical systems with delays
Advances in Difference Equations, 2018 This paper deals with the minimal wave speed of delayed lattice dynamical systems. We obtain the minimal wave speed by presenting the existence and nonexistence of traveling wave solutions, which completes the earlier results.
Shuxia Pan, Hong-Bo Shi
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Upper–lower solutions for nonlinear parabolic systems and their applications
Journal of Mathematical Analysis and Applications, 2011 A method of upper and lower-solutions for nonlinear time-dependent reaction-diffusion systems of the type \[ \begin{cases} {\partial \over {\partial t}} u_i(x,t) - d_i \Delta u_i(x,t)= f_i(u_1,\dots,u_m, x) \quad \text{ for } x\in \Omega \subset \mathbb R^m \\ \alpha_i u_i(x,t) + \beta_i {\partial \over \partial n} u_i(x,t) = \psi_i(u_1,\dots,u_{i-1 ...
Abudiab, Mufid, Ahn, Inkyung, Li, Lige
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Quasilinearization method for finite systems of nonlinear RL fractional differential equations [PDF]
Opuscula Mathematica, 2020 In this paper the quasilinearization method is extended to finite systems of Riemann-Liouville fractional differential equations of order \(0\lt q\lt 1\).
Zachary Denton, Juan Diego Ramírez
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A theorem on upper–lower solutions for nonlinear elliptic systems and its applications
Journal of Mathematical Analysis and Applications, 2008 In this article the authors extend the classical result of an upper-lower solution technique to nonlinear non-homogeneous elliptic systems without the assumption of quasi-monotonicity under nonlinear boundary conditions. The method employed is Schauder's fixed point theorem.
Li, Lige, Abudiab, Mufid, Ahn, Inkyung
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