Multiple solutions of nonlinear boundary value problems and topological degree
Construction of non-constant lower and upper functions for impulsive periodic problems.
Upper and lower solutions satisfying the inverse inequality
We consider multipoint and two-point BVPs for second order ordinary differential equations with a Carathéodory right hand side. We prove the existence of solutions provided there exist upper and lower solutions of the BVP and the upper solution is less than the lower one.
Об одной нелинейной задаче для дифференциальных систем -го порядка
On a Kneser problem for a system of nonlinear ordinary differential equations
On four-point boundary value problem without growth conditions
We prove the existence of solutions of four-point boundary value problems under the assumption that fulfils various combinations of sign conditions and no growth restrictions are imposed on . In contrast to earlier works all our results are proved for the Carathéodory case.
Existence and uniqueness of solutions of four-point boundary value problems for 2nd order differential equations
Nonnegative nonincreasing solutions of differential equations of the 3rd order
On some three-point problems for third-order differential equations
This paper is concerned with existence and uniqueness of solutions of the three-point problem . The problem is at resonance, in the sense that the associated linear problem has non-trivial solutions. We use the method of lower and upper solutions.
The first kind periodic solutions of differential equations of the second order
On a certain three-point boundary value problem
Periodic boundary value problems for third order differential equations
Strong singularities in mixed boundary value problems
We study singular boundary value problems with mixed boundary conditions of the form where We assume that satisfies the Carathéodory conditions on and need not be integrable on Here can have time singularities at and/or and a space singularity at . Moreover, can change its sign. Provided is nonnegative it can have even a space singularity at We present conditions for the existence of solutions positive on
On a coincidence of central dispersions of the first and second kind in connection with periodic solutions of the differential equation
A four-point problem for differential equations of the second order
On Kneser problem for differential equations of the 3rd order
On algebraic properties of dispersions of the 3rd and 4th kind of the differential equation
An existence theorem of the Leray-Schauder type for four-point boundary value problems
On certain multipoint boundary valued problems
On the theory of phases of academican O. Borůvka
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