Generalized solutions of nonlinear differential equations A nonstandard jets approach [PDF]
arXiv, 2012 Using the rudiments of pde jets theory in a nonstandard setting, we first deepen and extend previous nonstandard existence results for generalized solutions of linear differential equations and second extend the previous results for linear differential equations to a much broader class of nonlinear differential equations.
arxiv
Hyers-Ulam stability for differential equations and partial differential equations via Gronwall Lemma [PDF]
arXiv, 2020 In this paper we will study Hyers-Ulam stability for Bernoulli differential equations, Riccati differential equations and quasilinear partial differential equations of first order, using Gronwall Lemma, following a method given by Rus.
arxiv
On the integration of two types of quadratic differential equations of the first order [PDF]
, 1906 František Graf
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Problem of stability of solutions of elliptic differential equations (with respect to small changes of regions of definition) [Lecture] [PDF]
, 1958 Ivo Babuška
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Existence theorems for a nonlinear second-order distributional differential equation
Journal of King Saud University: Science, 2018 In this work, we are concerned with existence of solutions for a nonlinear second-order distributional differential equation, which contains measure differential equations and stochastic differential equations as special cases.
Wei Liu +3 more
doaj
A remark on the limit pasage from difference equations to a differential equation [PDF]
, 1956 Jiří Čermák
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Note on a Nonlinear Differential Equation [PDF]
arXiv, 2014 We give evaluations in closed form of certain non linear differential ...
arxiv
Boundary Value and Expansion Problems of Ordinary Linear Differential Equations [PDF]
, 1908 George D. Birkhoff
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A general theorem concerning linear hyperbolic partial differential equations of second order [PDF]
, 1935 S. K. Zaremba
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Differential equations defined on algebraic curves [PDF]
arXiv, 2016 The class of ordinary linear constant coefficient differential equations is naturally embedded into a wider class by associating differential equations to algebraic curves.
arxiv