Model of phenotypic evolution in hermaphroditic populations. [PDF]
J Math Biol, 2015 We consider an individual based model of phenotypic evolution in hermaphroditic populations which includes random and assortative mating of individuals.
Rudnicki R, Zwoleński P.
europepmc +3 more sources
Convergence of functionals and its applications to parabolic equations
Abstract and Applied Analysis, Volume 2004, Issue 11, Page 907-933, 2004., 2004 Asymptotic behavior of solutions of some parabolic equation associated with the p‐Laplacian as p → +∞ is studied for the periodic problem as well as the initial‐boundary value problem by pointing out the variational structure of the p‐Laplacian, that is, ∂φp(u) = −Δpu, where φp : L2(Ω) → [0, +∞]. To this end, the notion of Mosco convergence is employed
Goro Akagi
wiley +1 more source
Bounded solutions of nonlinear Cauchy problems
Abstract and Applied Analysis, Volume 7, Issue 12, Page 637-661, 2002., 2002 For a given closed and translation invariant subspace Y of the bounded and uniformly continuous functions, we will give criteria for the existence of solutions u ∈ Y to the equation u′(t) + A(u(t)) + ωu(t)∍f(t), t ∈ ℝ, or of solutions u asymptotically close to Y for the inhomogeneous differential equation u′(t) + A(u(t)) + ωu(t)∍f(t), t > 0, u(0) = u0,
Josef Kreulich
wiley +1 more source
The work of Pierre Magal on differential equations, functional analysis and mathematical biology. [PDF]
J Math BiolDemongeot J, Hillen T, Ruan S, Webb G.
europepmc +1 more source
An extrapolation result in the variational setting: improved regularity, compactness, and applications to quasilinear systems. [PDF]
Stoch Partial Differ EquBechtel S, Veraar M.
europepmc +1 more source
Nonlinear differential inequality [PDF]
, 2010 A nonlinear inequality is formulated in the paper. An estimate of the rate of growth/decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear evolution equations. It can be applied to
Hoang, N. S., Ramm, A. G.
core +8 more sources
Existence of solution to an evolution equation and a justification of the DSM for equations with monotone operators [PDF]
, 2009 An evolution equation, arising in the study of the Dynamical Systems Method (DSM) for solving equations with monotone operators, is studied in this paper.
Hoang, N. S., Ramm, A. G.
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Coagulation and fragmentation processes with evolving size and shape profiles : a semigroup approach [PDF]
, 2013 We investigate a class of bivariate coagulation-fragmentation equations. These equations describe the evolution of a system of particles that are characterised not only by a discrete size variable but also by a shape variable which can be either discrete
A. C. McBride +15 more
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Interpolation of nonlinear maps [PDF]
, 2014 Let $(X_0, X_1)$ and $(Y_0, Y_1)$ be complex Banach couples and assume that $X_1\subseteq X_0$ with norms satisfying $\|x\|_{X_0} \le c\|x\|_{X_1}$ for some $c > 0$.
Kappeler, T. +3 more
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Dynamical systems method for solving nonlinear equations with monotone operators [PDF]
, 2009 A version of the Dynamical Systems Method (DSM) for solving ill-posed nonlinear equations with monotone operators in a Hilbert space is studied in this paper.
Hoang, N. S., Ramm, A. G.
core +9 more sources