Results 1 to 10 of about 317,774 (163)
Lower and Upper Solutions for Even Order Boundary Value Problems [PDF]
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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Lower and Upper Solutions Method for Positive Solutions of Fractional Boundary Value Problems [PDF]
Abstract and Applied Analysis, 2013 We apply the lower and upper solutions method and fixed-point theorems to prove the existence of positive solution to fractional boundary value problem D0+αut+ft,ut=0 ...
R. Darzi +3 more
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Subharmonic solutions for nonlinear second order equations in presence of lower and upper solutions
Discrete and Continuous Dynamical Systems, 2013 We study the problem of existence and multiplicity of subharmonic solutions for a second order nonlinear ODE in presence of lower and upper solutions. We show how such additional information can be used to obtain more precise multiplicity results.
Alberto Boscaggin, Fabio Zanolin
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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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Periodic solutions for SDEs through upper and lower solutions
Discrete and Continuous Dynamical Systems - B, 2020 We study a kind of better recurrence than Kolmogorov's one: periodicity recurrence,which corresponds periodic solutions in distribution for stochastic differential equations. On the basis of technique of upper and lower solutions and comparison principle, we obtain the existence of periodic solutions in distribution for stochastic differential ...
Ji, Chunyan, Xue, Yang, Li, Yong
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On minima of a functional of the gradient: Upper and lower solutions [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2006 This paper deals with a variational problem of the form \[ \min \int_\Omega g(\nabla u(x))\,dx\quad \text{s.t.} \quad u(\cdot)\in \langle v,\cdot\rangle +W_0^{1,p}(\Omega), \] where \(\Omega\) is an open bounded set in \(R^n\) and the Lagrangian \(g:R^n\to R\cup \{+\infty\}\) is a nonconvex lower-semicontinuous function.
Goncharov, Vladimir, Ornelas, António
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Well-Ordered and Non-Well-Ordered Lower and Upper Solutions for Periodic Planar Systems
Advanced Nonlinear Studies, 2021 The aim of this paper is to extend the theory of lower and upper solutions to the periodic problem associated with planar systems of differential equations.
Fonda Alessandro +2 more
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Upper and Lower Solutions with “Jumps”
Journal of Mathematical Analysis and Applications, 1998 Consider the periodic boundary value problem \((*)\) \(dx/dt = f(t,x)\), \(x(0)=x(T)\) where \(f:[0,T] \times \mathbb{R} \rightarrow \mathbb{R}\) is a Carathéodory function. The authors introduce the concept of piecewise absolutely continuous lower and upper solutions to \((*)\) (which can have jumps) and prove that the existence of ordered piecewise ...
Liz, Eduardo, Pouso, Rodrigo L
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Almost periodic upper and lower solutions
Journal of Differential Equations, 2003 Consider the second-order equation \((*) \;\ddot{u} = f(t,u,\dot{u}),\) where \(f\) is continuous and \(T\)-periodic in \(t\). If \(f\) satisfies a Nagumo condition, then the method of upper and lower solutions is a powerful tool to establish the existence of \(T\)-periodic solutions of \((*)\).
R. Ortega, M.E. Tarallo
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