András Rontó
YOU?
Author Swipe
View article: Solvability of the symmetric nonlinear functional differential equations
Solvability of the symmetric nonlinear functional differential equations Open
Conditions for the existence of a symmetric solution of nonlinear functional differential equations with symmetries are established.
View article: On the jump control problem for boundary-value problems with state-dependent impulses
On the jump control problem for boundary-value problems with state-dependent impulses Open
UDC 517.9 We show how an appropriate parametrization technique and special successive approximations can help to control unknown jumps in the case of nonlinear boundary-value problems with state-dependent impulses. The practical applicatio…
View article: On Construction of Solutions of Linear Differential Systems with Argument Deviations of Mixed Type
On Construction of Solutions of Linear Differential Systems with Argument Deviations of Mixed Type Open
We show the use of parametrization techniques and successive approximations for the effective construction of solutions of linear boundary value problems for differential systems with multiple argument deviations. The approach is illustrat…
View article: On a Class of Functional Differential Equations with Symmetries
On a Class of Functional Differential Equations with Symmetries Open
It is shown that a class of symmetric solutions of scalar non-linear functional differential equations can be investigated by using the theory of boundary value problems. We reduce the question to a two-point boundary value problem on a bo…
View article: Parametrisation for boundary value problems with transcendental non-linearities using polynomial interpolation
Parametrisation for boundary value problems with transcendental non-linearities using polynomial interpolation Open
A constructive technique of analysis involving parametrisation and polynomial interpolation is suggested for general non-local problems for ordinary differential systems with locally Lipschitzian transcendental non-linearities. The practic…
View article: On boundary value problems with prescribed number of zeroes of solutions
On boundary value problems with prescribed number of zeroes of solutions Open
We show how appropriate parametrisation technique and successive approximations can help to investigate solutions of Emden-Fowler type equations with a given number of zeroes.The technique can be efficiently applied for more general equati…
View article: Partially solved differential systems with two-point non-linear boundary conditions
Partially solved differential systems with two-point non-linear boundary conditions Open
We suggest a new constructive approach for the solvability analysis and approximate solution of certain types of partially solved Lipschitzian differential systems with two-point nonlinear boundary conditions.The practical application of t…
View article: On non-linear boundary value problems and parametrisation at multiple nodes
On non-linear boundary value problems and parametrisation at multiple nodes Open
We show how a suitable interval division and parametrisation technique can help to essentially improve the convergence conditions of the successive approximations for solutions of systems of non-linear ordinary differential equations under…