Results 21 to 30 of about 6,741,091 (278)
Perron's theorem for nondensely defined partial functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2017 The aim of this work is to establish a Perron type theorem for some nondensely defined partial functional differential equations with infinite delay. More specifically, we show that if the nonlinear delayed part is "small" (in a sense to be made precise ...
Nadia Drisi +2 more
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Boundary value problems for partial functional differential equations [PDF]
Pacific Journal of Mathematics, 1980 468 SAMUEL M. RANKIN, III3. A. Granas, The theory of compact vector fields and some of its applications totopology and functional spaces, I. Rozprowy Mat., 30 (1962), 93.4. J. K. Hale, Functional Differential Equations, Springer-Verlag, New York, 1971.5. M. Z. Nashed and J. S. W.
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Oscillation of Solutions of Neutral Partial Functional Differential Equations
Journal of Mathematical Analysis and Applications, 1999 The authors use the generalized Riccati transformation in order to obtain sufficient conditions for an oscillation of the solutions to the following neutral partial differential-functional equations \[ {\partial \over \partial t}\left[p(t) {\partial\over\partial t}\left(u(x,t)+ \sum^\ell_{i=1} \lambda_i(t) u(x,t-\tau_i) \right)\right] = \] \[ =a(t ...
Li, Wei Nian, Cui, Bao Tong
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Dynamics of cell growth: Exponential growth and division after a minimum cell size
Partial Differential Equations in Applied MathematicsIn this paper, we consider a mathematical model for cell division using a Pantograph-type nonlocal partial differential equation, accompanied by relevant initial and boundary conditions. This formulation results in a nonlocal singular eigenvalue problem.
M. Mohsin, A.A. Zaidi, B. van Brunt
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On the geometric structure of characteristic vector fields related with nonlinear equations of the Hamilton-Jacobi type [PDF]
Opuscula Mathematica, 2007 The Cartan-Monge geometric approach to the characteristics method for Hamilton-Jacobi type equations and nonlinear partial differential equations of higher orders is analyzed.
Natalia K. Prykarpatska +1 more
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A Partial Functional Differential Equation
Journal of Mathematical Analysis and Applications, 2001 The author of this interesting paper investigates the partial functional differential equation \[ \partial u(x,t)\partial t =k \partial^2 u(x,t)\partial x^2+ru(x,t-T)[1-u(x,t)], \;\;t\geq 0, \;\;x\in [{}0,\pi ]{} \] under the boundary condition \(u(0,t)=u(\pi ,t)=0\) (\(t>0\)) and \(u(x,s)=\phi (x,s)\), \(-T\leq s\leq 0\), \(0\leq x\leq \pi \).
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Известия высших учебных заведений. Поволжский регион: Физико-математические наукиBackground. In this paper, solutions of retarded-functional differential equations are investigated for equiboundedness, partial equiboundedness, and partial equiboundedness with partial control of the histories of these solutions.
Kirill S. Lapin, Vladislav A. Aryanov
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Admissible integral manifolds for partial neutral functional-differential equations
Ukrains’kyi Matematychnyi Zhurnal, 2022 UDC 517.9 We prove the existence and attraction property for admissible invariant unstable and center-unstable manifolds of admissible classes of solutions to the partial neutral functional-differential equation in Banach space X of the form & ∂ ∂ t F
Thieu Huy Nguyen +2 more
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Journal of Applied Mathematics, 2013 We discuss the exponential stability in mean square of mild solution for neutral stochastic partial functional differential equations with impulses. By applying impulsive Gronwall-Bellman inequality, the stochastic analytic techniques, the fractional ...
Nan Ding
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Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
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