Results 11 to 20 of about 722,802 (181)
B\"acklund transformations for nonlinear evolution equations: Hilbert space approach [PDF]
, 1992 A new method of determining B\"acklund transformations for nonlinear partial differential equations of the evolution type is introduced. Using the Hilbert space approach the problem of finding B\"acklund transformations is brought down to the solution of
Kowalski +8 more
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Cubo, 2023 In this research article, we delimitate the definition of mild solution for abstract fractional differential equations with state-dependent delay (AFDEw/SDD) of order \(\alpha\in(1,2)\) with impulsive effects and compare the solution to the second-order ...
Ganga Ram Gautam +4 more
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Differential equations on abstract Wiener space [PDF]
Pacific Journal of Mathematics, 1972 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On classification and invariants of second order non-parabolic linear partial differential equations in two variables [PDF]
, 2017 The paper deals with second order abstract linear partial differential equations (LPDE) over a partial differential field with two commuting differential operators.
Bekbaev, U.
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Total stability in abstract functional differential equations with infinite delay
Electronic Journal of Qualitative Theory of Differential Equations, 2000 For functional differential equations with infinite delay in a Banach space, an equivalent relationship between the BC-total stability and the $\rho$-total stability is investigated, and a result due to Murakami and Yoshizawa on functional differential ...
Y. Hino, Satoru Murakami
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Operator splittings and spatial approximations for evolution equations [PDF]
, 2009 The convergence of various operator splitting procedures, such as the sequential, the Strang and the weighted splitting, is investigated in the presence of a spatial approximation. To this end a variant of Chernoff's product formula is proved.
András Bátkai +4 more
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Trichotomies for abstract semilinear differential equations
Journal of Mathematical Analysis and Applications, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang, Yu-Hsien, Jau, Guo-Chin
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Global solutions for abstract functional differential equations with nonlocal conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2009 In this paper we study the existence of global solutions for a class of abstract functional differential equation with nonlocal conditions. An application is considered.
Eduardo Hernandez, Sueli M. Tanaka Aki
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Approximate solutions of abstract differential equations [PDF]
Applications of Mathematics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Dynamics, 2023 This manuscript relates to the exploiting of the abstract calculus pattern (ACP) for the (numerical) solution of ordinary differential equation (ODEs) systems, which are ubiquitous mathematical formulations of many physical (dynamical) phenomena.
Stefano Zaghi, Cristiano Andolfi
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