Results 91 to 100 of about 269,773 (341)
Mild Solutions of Neutral Stochastic Partial Functional Differential Equations [PDF]
International Journal of Stochastic Analysis, 2011 This paper studies the existence and uniqueness of a mild solution for a neutral stochastic partial functional differential equation using a local Lipschitz condition. When the neutral term is zero and even in the deterministic special case, the result obtained here appears to be new. An example is included to illustrate the theory.
openaire +2 more sources
Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source
Weak solutions of functional differential inequalities with first-order partial derivatives
Journal of Inequalities and Applications, 2011 The article deals with functional differential inequalities generated by the Cauchy problem for nonlinear first-order partial functional differential equations. The unknown function is the functional variable in equation and inequalities, and the partial
Kamont Zdzisław
doaj
On qualitative behavior of multiple solutions of quasilinear parabolic functional equations
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We shall consider weak solutions of initial-boundary value problems for semilinear and nonlinear parabolic differential equations for $t\in (0,\infty )$ with certain nonlocal terms.
László Simon
doaj +1 more source
Almost automorphic solutions for some partial functional differential equations
, 2007 In this work, we study the existence of almost automorphic solutions for some partial functional differential equations. We prove that the existence of a bounded solution on R + implies the existence of an almost automorphic solution.
K. Ezzinbi, G. N’Guérékata
semanticscholar +1 more source
Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
Molecular Oncology, EarlyView.This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source
COMP–PMEPA1 axis promotes epithelial‐to‐mesenchymal transition in breast cancer cells
Molecular Oncology, EarlyView.This study reveals that cartilage oligomeric matrix protein (COMP) promotes epithelial‐to‐mesenchymal transition (EMT) in breast cancer. We identify PMEPA1 (protein TMEPAI) as a novel COMP‐binding partner that mediates EMT via binding to the TSP domains of COMP, establishing the COMP–PMEPA1 axis as a key EMT driver in breast cancer.
Konstantinos S. Papadakos +6 more
wiley +1 more source
Partial difference equations arising from the Cauchy-Riemann equations
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2006 We consider some functional equations arising from the Cauchy-Riemann equations, and certain related functional equations. First we propose a new functional equation (E.1) below, over a $2$-divisible Abelian group, which is a discrete version of the ...
S. Haruki, S. Nakagiri
doaj
Existence and stability for some partial neutral functional differential equations
Differential and Integral Equations, 2004 In this work we study the existence and stability for some neutral partial functional differential equations. We suppose that the linear part is not necessarily densely defined and satisfies the Hille-Yosida condition on a Banach space $X$. The nonlinear term takes its values in a space larger than $X$, namely the extrapolated Favard class ...
Benkhalti, Rachid, Ezzinbi, Khalil
openaire +3 more sources
Partial differential equations with Fourier series and boundary value problems / NakhleÌ H. Asmar. [PDF]
, 2005 Rev. ed of: Partial differential equations and boundary value problems. 1st ed. Upper Saddle River, NJ : Pearson Prentice Hall, c2000.Includes bibliographical references and index.1 v. (various pgs.)
Asmar, NakhleÌ H. Partial differential equations and boundary value problems. 6715 +1 more
core