Results 21 to 30 of about 1,794,477 (278)

Existence of minimal and maximal solutions to first--order differential equations with state--dependent deviated arguments

open access: yes, 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
core   +1 more source

Solving ill-posed bilevel programs [PDF]

open access: yes, 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
core   +1 more source

Existence of bounded trajectories via upper and lower solutions

open access: yesDiscrete and Continuous Dynamical Systems, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MALAGUTI, Luisa, C. Marcelli
openaire   +2 more sources

On the nonlocal Fisher-KPP equation: steady states, spreading speed and global bounds

open access: yes, 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
core   +2 more sources

Upper and Lower Solutions and Multiplicity Results

open access: yesJournal 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.
openaire   +1 more source

Ambrosetti-Prodi-type results for a class of difference equations with nonlinearities indefinite in sign

open access: yesOpen 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
doaj   +1 more source

Upper and Lower Solutions and Topological Degree

open access: yesJournal of Mathematical Analysis and Applications, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Upper and Lower Solutions for a Generalized Emden-Fowler Equation

open access: yesJournal 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
openaire   +4 more sources

Clinical Insights Into Hypercalcemia of Malignancy in Childhood

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Hypercalcemia of malignancy (HCM) is a rare but life‐threatening metabolic emergency in children that occurs in less than 1% of pediatric cancer cases, with a reported incidence ranging from 0.4% to 1.0% across different studies. While it is observed in 10%–20% of adult malignancies, pediatric HCM remains relatively uncommon.
Hüseyin Anıl Korkmaz
wiley   +1 more source

Existence of rotating-periodic solutions for nonlinear second order vector differential equations

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we establish two existence theorems of rotating-periodic solutions for nonlinear second order vector differential equations via the Leray–Schauder degree theory and the lower and upper solutions method.
Jin Zhang, Xue Yang
doaj   +1 more source

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