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Displaying 21 – 32 of 32

Existence of solutions to generalized von Foerster equations with functional dependence

Henryk Leszczyński, Piotr Zwierkowski (2004)

Annales Polonici Mathematici

We prove the existence of solutions to a differential-functional system which describes a wide class of multi-component populations dependent on their past time and state densities and on their total size. Using two different types of the Hale operator, we incorporate in this model classical von Foerster-type equations as well as delays (past time dependence) and integrals (e.g. influence of a group of species).

Existence of solutions to nonlinear parabolic problems with delay.

Hsu, Deliang (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence of solutions with exponential growth for nonlinear differential-functional parabolic equations

Agnieszka Bartłomiejczyk, Henryk Leszczyński (2014)

Annales Polonici Mathematici

We consider the Cauchy problem for nonlinear parabolic equations with functional dependence. We prove Schauder-type existence results for unbounded solutions. We also prove existence of maximal solutions for a wide class of differential functional equations.

Existence of time periodic solutions for one-dimensional Newtonian filtration equation with multiple delays.

Yang, Ying, Yin, Jingxue, Jin, Chunhua (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Existence results for abstract partial neutral integro-differential equation with unbounded delay.

Hernandez, E., Henriquez, H.R., Dos Santos, J.P.C. (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Existence results for first order impulsive semilinear evolution inclusions.

Benchohra, M., Henderson, J., Ntouyas, S.K. (2001)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Existence results for impulsive evolution differential equations with state-dependent delay.

Hernandez, Eduardo, Sakthivel, Rathinasamy, Aki, Sueli Tanaka (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence results for impulsive semilinear damped differential inclusions.

Benchohra, M., Henderson, J., Ntouyas, S. K., Ouahab, A. (2003)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Existence results on the semiinfinite interval for first and second order integrodifferential equations in Banach spaces with nonlocal conditions

Mouffak Benchohra, Sotiris K. Ntouyas (2002)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Existence, uniqueness and continuous dependence for a hereditary nonlinear functional partial differential equation of the first order

Primo Brandi, Rita Ceppitelli (1986)

Annales Polonici Mathematici

Explicit difference schemes for nonlinear differential functional parabolic equations with time dependent coefficients-convergence analysis

A. Poliński (2006)

Annales Polonici Mathematici

We study the initial-value problem for parabolic equations with time dependent coefficients and with nonlinear and nonlocal right-hand sides. Nonlocal terms appear in the unknown function and its gradient. We analyze convergence of explicit finite difference schemes by means of discrete fundamental solutions.

Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping.

Cavalcanti, Marcelo M., Domingos Cavalcanti, Valéria N., Soriano, Juan A. (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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