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pro vyhledávání: '"Korman, Philip"'
Autor:
Korman, Philip
This paper deals with various cases of resonance, which is a fundamental concept of science and engineering. Specifically, we study the connections between periodic and unbounded solutions for several classes of equations and systems. In particular,
Externí odkaz:
http://arxiv.org/abs/2303.12919
Autor:
Korman, Philip, Schmidt, Dieter S.
Publikováno v:
In Journal of Computational and Applied Mathematics April 2024 440
Autor:
Korman, Philip
Publikováno v:
Adv. Nonlinear Stud. 11 (2011), no. 4, 875-888
For a class of equations generalizing the model case \[ \Delta _p u-a(r)u^{p-1}+b(r)u^q=0 \; \; \mbox{in $B$}, \; \; u=0 \; \; \mbox{on $\partial B$}, \] where $B$ is the unit ball in $R^n$, $n \geq 1$, $r=|x|$, $p,q>1$, and $\Delta _p$ denotes the $
Externí odkaz:
http://arxiv.org/abs/2009.01314
Autor:
Korman, Philip
For the $p$-Laplace Dirichlet problem (where $\varphi (t)=t|t|^{p-2}$, $p>1$) \[ \varphi(u'(x))'+ f(u(x))=0 \;\;\;\; \mbox{for $-1(p-1)\frac{f(u)}{u}>0$ for $u>\gamma>0$, while $\int_u^\gamma f(t) \, dt
Externí odkaz:
http://arxiv.org/abs/2009.01304
Autor:
Korman, Philip
In the classical Lotka-Volterra population models, the interacting species affect each other's growth rate. We propose an alternative model, in which the species affect each other through the limitation coefficients, rather then through the growth ra
Externí odkaz:
http://arxiv.org/abs/2008.05521
Autor:
Korman, Philip, Schmidt, Dieter S.
This paper provides both the theoretical results and numerical calculations of global solution curves, by continuation in global parameters. Each point on the solution curves is computed directly as the global parameter is varied, so that all of the
Externí odkaz:
http://arxiv.org/abs/2001.00616
Autor:
Korman, Philip
We show that Pinney's equation [2] with a constant coefficient can be reduced to its linear part by a simple change of variables. Also, Pinney's original solution is simplified slightly.
Comment: 2 pages
Comment: 2 pages
Externí odkaz:
http://arxiv.org/abs/1902.02739
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