Existence of solution for a mixed neutral system.
Balachandran, K., Anguraj, A. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Balachandran, K., Anguraj, A. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Tomasz Człapiński (1999)
Czechoslovak Mathematical Journal
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We consider the mixed problem for the hyperbolic partial differential-functional equation of the first order where is a function defined by , . Using the method of bicharacteristics and the method of successive approximations for a certain integral-functional system we prove, under suitable assumptions, a theorem of the local existence of generalized solutions of this problem.
Joanna Janczewska (2011)
Annales Polonici Mathematici
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We shall be concerned with the existence of almost homoclinic solutions for a class of second order functional differential equations of mixed type: , where t ∈ ℝ, q ∈ ℝⁿ and T>0 is a fixed positive number. By an almost homoclinic solution (to 0) we mean one that joins 0 to itself and q ≡ 0 may not be a stationary point. We assume that V and u are T-periodic with respect to the time variable, V is C¹-smooth and u is continuous. Moreover, f is non-zero, bounded, continuous and square-integrable....
Ewa Zadrzyńska
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CONTENTS1. Introduction....................................................................................................................................................52. Notations and preliminaries .........................................................................................................................11 2.1. Function spaces and spaces of distributions............................................................................................11 2.2. Perturbations...
Guo Chun Wen (1998)
Annales Polonici Mathematici
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This paper deals with an application of complex analysis to second order equations of mixed type. We mainly discuss the discontinuous Poincaré boundary value problem for a second order linear equation of mixed (elliptic-hyperbolic) type, i.e. the generalized Lavrent’ev-Bitsadze equation with weak conditions, using the methods of complex analysis. We first give a representation of solutions for the above boundary value problem, and then give solvability conditions via the Fredholm theorem...
Jan Turo (1989)
Annales Polonici Mathematici
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J. Korevaar (1986)
Matematički Vesnik
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Cui Baotong (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Philippe Eyssidieux, Carlos Simpson (2011)
Journal of the European Mathematical Society
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Let be a compact Kähler manifold, be a base point and be the monodromy representation of a -VHS. Building on Goldman–Millson’s classical work, we construct a mixed Hodge structure on the complete local ring of the representation variety at and a variation of mixed Hodge structures whose monodromy is the universal deformation of .
Zhiting Xu (2010)
Annales Polonici Mathematici
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Oscillation theorems are established for forced second order mixed-nonlinear elliptic differential equations ⎧ , ⎨ ⎩ under quite general conditions. These results are extensions of the recent results of Sun and Wong, [J. Math. Anal. Appl. 334 (2007)] and Zheng, Wang and Han [Appl. Math. Lett. 22 (2009)] for forced second order ordinary differential equations with mixed nonlinearities, and include some known oscillation results in the literature
Guangbin Ren, Jihuai Shi (2004)
Studia Mathematica
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For any holomorphic function F in the unit polydisc Uⁿ of ℂⁿ, we consider its restriction to the diagonal, i.e., the function in the unit disc U of ℂ defined by F(z) = F(z,...,z), and prove that the diagonal mapping maps the mixed norm space of the polydisc onto the mixed norm space of the unit disc for any 0 < p < ∞ and 0 < q ≤ ∞.
Z. Stojek (1963)
Annales Polonici Mathematici
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