Results 21 to 30 of about 1,790,903 (284)
Monotone iterative method for two-point fractional boundary value problems
Advances in Difference Equations, 2018 In this work, we deal with two-point Riemann–Liouville fractional boundary value problems. Firstly, we establish a new comparison principle. Then, we show the existence of extremal solutions for the two-point Riemann–Liouville fractional boundary value ...
Bo Tang, Jing Zhao, Zhenhai Liu
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, 2011 We prove some new results on existence of solutions to first--order ordinary differential equations with deviating arguments. Delay differential equations are included in our general framework, which even allows deviations to depend on the unknown ...
Figueroa, Rubén, Pouso, Rodrigo López
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Solving ill-posed bilevel programs [PDF]
, 2016 This paper deals with ill-posed bilevel programs, i.e., problems admitting multiple lower-level solutions for some upper-level parameters. Many publications have been devoted to the standard optimistic case of this problem, where the difficulty is ...
AG Mersha +43 more
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Existence of bounded trajectories via upper and lower solutions
Discrete and Continuous Dynamical Systems, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MALAGUTI, Luisa, C. Marcelli
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On the nonlocal Fisher-KPP equation: steady states, spreading speed and global bounds
, 2013 We consider the Fisher-KPP equation with a non-local interaction term. We establish a condition on the interaction that allows for existence of non-constant periodic solutions, and prove uniform upper bounds for the solutions of the Cauchy problem, as ...
Hamel, Francois, Ryzhik, Lenya
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Upper and Lower Solutions and Multiplicity Results
Journal of Mathematical Analysis and Applications, 2000 Using the topological degree theory, the author obtains some multiplicity results for the second-order differential equation \(x''=f(t,x,x')\), with both linear (periodic and Neumann) and nonlinear boundary conditions. Here, \(f:[a,b]\times \mathbb{R}^2 \to \mathbb{R}\) is continuous and satisfies certain growth conditions.
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Upper and Lower Solutions and Topological Degree
Journal of Mathematical Analysis and Applications, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Upper and Lower Solutions for a Generalized Emden-Fowler Equation
Journal of Mathematical Analysis and Applications, 1994 The paper deals with the problem \(u''+ g(t,u)= 0\), \(u(0)= u(1)= 0\), where the function \(g\) can be singular at \(t=0\), \(t=1\) and \(u=0\). The authors prove the existence of positive solution of this problem, supposing in the main that nonlinearity has to become large enough when \(u\) goes to zero and singularity has to be small enough so that ...
HABETS P., ZANOLIN, Fabio
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Open Mathematics, 2022 In this article, we are concerned with the periodic solutions of first-order difference equation Δu(t−1)=f(t,u(t))−s,t∈Z,(P)\Delta u\left(t-1)=f\left(t,u\left(t))-s,\hspace{1em}t\in {\mathbb{Z}},\hspace{1.0em}\hspace{1.0em}\left(P) where s∈Rs\in {\mathbb{
Zhao Jiao, Ma Ruyun
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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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