26 citations · 52 across the 5 of their papers we have counts for
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Solving large classes of nonlinear systems of PDEs
Roumen Anguelov, Elemer E Rosinger
It is shown that large classes of nonlinear systems of PDEs, with possibly associated initial and/or boundary value problems, can be solved by the method of order completion. The s…
Can there be a general nonlinear PDE theory for the existence of solutions ?
E. E. Rosinger
Contrary to widespread perception, there is ever since 1994 a unified, general type independent theory for the existence of solutions for very large classes of nonlinear systems of…
How to solve smooth nonlinear PDEs in algebras of generalized functions with dense singularities
E. E. Rosinger
As a significant strengthening of properties of earlier algebras of generalized functions, here are presented classes of such algebras which can deal with dense singularities. In f…
Hausdorff continuous solutions of nonlinear PDEs through the order completion method
Roumen Anguelov, Elemer E Rosinger
It was shown in 1994, in Oberguggenberger & Rosinger, that very large classes of nonlinear PDEs have solutions which can be assimilated with usual measurable functions on the Eucli…
Hausdorff continuous solutions of arbitrary continuous nonlinear PDEs through the order completion method
Elemer E Rosinger
In 1994 we showed that very large classes of systems of nonlinear PDEs have solutions which can be assimilated with usual measurable functions on the Euclidean domains of definitio…