On the existence and uniqueness of solutions of systems of differential equations with a deviated argument
T. Jankowski, M. Kwapisz (1972)
Annales Polonici Mathematici
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Displaying similar documents to “A uniqueness theorem for monogenic functions.”
On the existence and uniqueness of solutions of systems of differential equations with a deviated argument
On the uniqueness of initial-value problems for partial differential equations of the first order
P. Besala (1983)
Annales Polonici Mathematici
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Time analyticity and backward uniqueness for the Boussinesq equations
Qianqian Hou, Xiaojing Xu (2014)
Colloquium Mathematicae
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We prove that strong solutions of the Boussinesq equations in 2D and 3D can be extended as analytic functions of complex time. As a consequence we obtain the backward uniqueness of solutions.
Uniqueness of the solution of the Cauchy problem to some equations of nonstationary filtration
T. Śliwa (1988)
Applicationes Mathematicae
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Existence, uniqueness and continuous dependence on the parameter of solutions of a system of differential equations with deviating argument
S. Czerwik (1977)
Annales Polonici Mathematici
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Monotonicity assumption in uniqueness criteria for differential equations
C. Olech, A. Pliś (1967)
Colloquium Mathematicae
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Vectors of uniqueness for id/dx
Ralph de Laubenfels (1988)
Studia Mathematica
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Uniqueness for positive solutions of -Laplacian problem in an annulus
Eric Nabana (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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A note on uniqueness of Cauchy problems associated to planar Hamiltonian systems.
Rebelo, C. (2000)
Portugaliae Mathematica
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On the Cauchy problem for linear PDEs with retarded arguments at derivatives
Krzysztof A. Topolski (2015)
Annales Polonici Mathematici
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We present an existence theorem for the Cauchy problem related to linear partial differential-functional equations of an arbitrary order. The equations considered include the cases of retarded and deviated arguments at the derivatives of the unknown function. In the proof we use Tonelli's constructive method. We also give uniqueness criteria valid in a wide class of admissible functions. We present a set of examples to illustrate the theory.
Uniqueness of two analytic functions sharing four values in an angular domain
Hong-Yan Xu, Ting-Bin Cao (2010)
Annales Polonici Mathematici
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We deal with the uniqueness problem for analytic functions sharing four distinct values in an angular domain and obtain some theorems which improve the result given by Cao and Yi [J. Math. Anal. Appl. 358 (2009)].
Counterexamples to Hölmgren's uniqueness for analytic non linear Cauchy problem.
G. Métivier (1993)
Inventiones mathematicae
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Cauchy-Kowalewski theorems in Clifford analysis : a survey
Brackx, F., Delanghe, R., Sommen, F.
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