Results 1 to 10 of about 1,790,928 (250)
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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On the Caputo-Hadamard fractional IVP with variable order using the upper-lower solutions technique
AIMS Mathematics, 2023 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 ...
Zoubida Bouazza +6 more
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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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Mathematical Biosciences and Engineering, 2021 This paper is devoted to studying the existence and nonexistence of traveling wave solution for a nonlocal dispersal delayed predator-prey system with the Beddington-DeAngelis functional response and harvesting.
Zhihong Zhao, Yan Li , Zhaosheng Feng
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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 Summary: We examine a nonlinear hemivariational inequality of second order. The differential operator is set-valued, nonlinear and depends on both \(x\) and its gradient \(Dx\). The same is true for the zero order term \(f\), while the right-hand side nonlinearity satisfies a one-sided Lipschitz condition. We use the method of upper and lower solutions,
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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First-order periodic coupled systems with orderless lower and upper solutions
AIMS Mathematics, 2023 We present some existence and localization results for periodic solutions of first-order coupled nonlinear systems of two equations, without requiring periodicity for the nonlinearities.
Feliz Minhós, Sara Perestrelo
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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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