On boundary value problems for functional-differential equations.
Kiguradze, I., Půža, B. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Displaying similar documents to “Existence of classical solutions for parabolic functional differential equations with initial boundary conditions of Robin type”
On boundary value problems for functional-differential equations.
On a two-point boundary value problem for second-order functional-differential equations. I.
Lomtatidze, A., Mukhigulashvili, S. (1997)
Memoirs on Differential Equations and Mathematical Physics
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On a two-point boundary value problem for second order functional differential equations.
Mukhigulashvili, S. (1995)
Memoirs on Differential Equations and Mathematical Physics
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On a two-point boundary value problem for second order functional differential equations. II.
Lomtatidze, A., Mukhigulashvili, S. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Boundary value problem for functional differential equations
Józef Myjak (1976)
Annales Polonici Mathematici
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Existence of solutions for non-linear systems of differential-functional equations of parabolic type in an arbitrary domain
S. Brzychczy (1987)
Annales Polonici Mathematici
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On a boundary value problem for a two-dimensional system of evolution functional differential equations.
Partsvania, N. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Existence of solutions with exponential growth for nonlinear differential-functional parabolic equations
Agnieszka Bartłomiejczyk, Henryk Leszczyński (2014)
Annales Polonici Mathematici
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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.
Comparison of explicit and implicit difference methods for quasilinear functional differential equations
W. Czernous, Z. Kamont (2011)
Applicationes Mathematicae
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We give a theorem on error estimates of approximate solutions for explicit and implicit difference functional equations with unknown functions of several variables. We apply this general result to investigate the stability of difference methods for quasilinear functional differential equations with initial boundary condition of Dirichlet type. We consider first order partial functional differential equations and parabolic functional differential problems. We compare the properties...
On a certain non-linear initial-boundary value problem for integro-differential equations of parabolic type
H. Ugowski (1973)
Annales Polonici Mathematici
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Concerning solutions of an exterior boundary-value problem for a system of non-linear parabolic equations
P. Besala (1964)
Annales Polonici Mathematici
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Differential-functional inequalities of parabolic type in unbounded regions
P. Besala, G. Paszek (1980)
Annales Polonici Mathematici
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Strong maximum principle for non-linear parabolic differential-functional inequalities
Jacek Szarski (1974)
Annales Polonici Mathematici
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The solutions of the quasilinear Keller-Segel system with the volume filling effect do not blow up whenever the Lyapunov functional is bounded from below
Tomasz Cieślak (2006)
Banach Center Publications
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In [2] we proved two kinds of mechanisms of preventing the blow up in a quasilinear non-uniformly parabolic Keller-Segel systems. One of them was a priori boundedness from below of the Lyapunov functional. In fact, we were able to present a condition under which the Lyapunov functional is bounded from below and a solution exists globally. In the present paper we prove that whenever the Lyapunov functional is bounded from below the solution exists globally.
Quasilinearization methods for nonlinear differential-functional parabolic equations: unbounded case
Agnieszka Bartłomiejczyk (2007)
Annales Polonici Mathematici
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We consider the Cauchy problem for nonlinear parabolic equations with functional dependence represented by the Hale functional acting on the unknown function and its gradient. We prove convergence theorems for a general quasilinearization method in natural subclasses of unbounded solutions.
Existence and uniqueness of solutions of nonlinear infinite systems of parabolic differential-functional equations
Stanisław Brzychczy (2001)
Annales Polonici Mathematici
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We consider the Fourier first initial-boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations of parabolic type. The right-hand sides of the system are functionals of unknown functions. The existence and uniqueness of the solution are proved by the Banach fixed point theorem.
Two-point boundary value problems for second order functional differential equations.
Mukhigulashvili, S. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Uniqueness of solutions of a mixed problem for parabolic differential-functional equations
J. Szarski (1973)
Annales Polonici Mathematici
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Existence of solutions for infinite systems of parabolic equations with functional dependence
Anna Pudełko (2005)
Annales Polonici Mathematici
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The Cauchy problem for an infinite system of parabolic type equations is studied. General operators of parabolic type of second order with variable coefficients are considered and the system is weakly coupled. We prove the existence and uniqueness of a bounded solution under Carathéodory type conditions and its differentiability, as well as the existence and uniqueness in the class of functions satisfying a natural growth condition. Both results are obtained by the fixed point method. ...