排序方式: 共有7条查询结果,搜索用时 15 毫秒
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A finite difference approximation to a
hierarchical size-structured model with nonlinear growth,
mortality and reproduction rates is developed.
Existence-uniqueness of the weak solution to the model is
established and convergence of the finite-difference approximation
is proved. Simulations indicate that the monotonicity assumption on the
growth rate is crucial for the global existence of weak solutions.
Numerical results testing the efficiency of this
method in approximating the long-time behavior of the model are
presented. 相似文献
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Mirjana Stojanovi? 《Journal of Mathematical Analysis and Applications》2009,353(1):244-255
We prove the existence-uniqueness of the solution to the nonlinear n-term time-fractional differential equation with constant coefficients in the Banach space C([0,T]),
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Azmy S. Ackleh Cammey E. Cole 《Journal of Mathematical Analysis and Applications》2004,289(2):530-544
We develop a monotone approximation to the solution of an age-structured model which describes the regulation of erythropoiesis, the process in which red blood cells are developed. The convergence of this approximation to the unique solution of the model is also established. 相似文献
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In this paper we prove the existence and uniqueness of solutions to the initial value problems associated with the GRID integro-differential equation describing macroscopic growth of an organism. We consider the general form of the macroscopic growth operator Φ and study the set of conditions on Φ that are sufficient to guarantee existence and uniqueness of solutions in Rn,n=1,2,3. 相似文献
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The aim of this paper is to investigate the existence, uniqueness, and asymptotic behavior of solutions for a coupled system of quasilinear parabolic equations under nonlinear boundary conditions, including a system of quasilinear parabolic and ordinary differential equations. Also investigated is the existence of positive maximal and minimal solutions of the corresponding quasilinear elliptic system as well as the uniqueness of a positive steady-state solution. The elliptic operators in both systems are allowed to be degenerate in the sense that the density-dependent diffusion coefficients Di(ui) may have the property Di(0)=0 for some or all i. Our approach to the problem is by the method of upper and lower solutions and its associated monotone iterations. It is shown that the time-dependent solution converges to the maximal solution for one class of initial functions and it converges to the minimal solution for another class of initial functions; and if the maximal and minimal solutions coincide then the steady-state solution is unique and the time-dependent solution converges to the unique solution. Applications of these results are given to three model problems, including a porous medium type of problem, a heat-transfer problem, and a two-component competition model in ecology. These applications illustrate some very interesting distinctive behavior of the time-dependent solutions between density-independent and density-dependent diffusions. 相似文献
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郝新生 《数学物理学报(A辑)》2000,20(Z1):602-609
该文利用Banach不动点原理讨论了一个半线性波方程的反问题,文中给出了该问题解的存在性、唯一性和稳定性. 相似文献
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