Carpio Rodríguez, Ana MaríaDuro, Gema2023-06-182023-06-182016Carpio Rodríguez, A. M. y Duro, G. «Well Posedness of an Angiogenesis Related Integrodifferential Diffusion Model». Applied Mathematical Modelling, vol. 40, n.o 9-10, mayo de 2016, pp. 5560-75. https://doi.org/10.1016/j.apm.2016.01.025.0307904X10.1016/j.apm.2016.01.025https://hdl.handle.net/20.500.14352/23618We prove existence and uniqueness of nonnegative solutions for a nonlocal in time integrodifferential diffusion system related to angiogenesis descriptions. Fundamental solutions of appropriately chosen parabolic operators with bounded coefficients allow us to generate sequences of approximate solutions. Comparison principles and integral equations provide uniform bounds ensuring some convergence properties for iterative schemes and providing stability bounds. Uniqueness follows from chained integral inequalities.engjournal articlehttps://doi.org/10.1016/j.apm.2016.01.025https://www.sciencedirect.com/journal/applied-mathematical-modellingopen access519.87IntegrodifferentialDiffusionNonlocalFundamental solutionsEcuaciones diferencialesInvestigación operativa (Matemáticas)Sistema cardiovascular1202.07 Ecuaciones en Diferencias1207 Investigación Operativa2411.03 Fisiología Cardiovascular