We prove three existence theorems for solutions of first-order dynamic initial value problems, including corresponding continuous and discrete cases. The main tools are fixed point theorems and dynamic inequalities. Two more results are given that discuss dependence of solutions on the initial conditions as well as convergence of sequences of solutions
A general existence theory is presented for initial value problems where our nonlinearity may be sin...
We present existence results for discontinuous first- and continuous second-order dynamic equations ...
AbstractIn this paper we study the existence, uniqueness, and iterative approximation of solutions f...
Abstract This article investigates the existence of solutions to boundary value problems (BVPs) invo...
The objective of this paper is to study the existence of solutions for two classes of dynamic initia...
Abstract. In this study, conditions for the existence of at least one solution to a nonlinear first-...
AbstractThis paper is devoted to deriving the existence, uniqueness and approximation of solutions t...
The theory of dynamic equations on time scales provides an important bridge between the fields of di...
By using the fixed point theorem in cones, in this paper, existence criteria for single and multipl...
summary:The purpose of the present paper is to study the existence of solutions to initial value pro...
summary:The purpose of the present paper is to study the existence of solutions to initial value pro...
In this paper we deal with the general initial-boundary value problem for a second order nonlinea...
summary:The purpose of the present paper is to study the existence of solutions to initial value pro...
Abstract. In this paper we examine “terminal ” value problems for dynamic equations on time scales –...
A general existence theory is presented for initial value problems where our nonlinearity may be sin...
A general existence theory is presented for initial value problems where our nonlinearity may be sin...
We present existence results for discontinuous first- and continuous second-order dynamic equations ...
AbstractIn this paper we study the existence, uniqueness, and iterative approximation of solutions f...
Abstract This article investigates the existence of solutions to boundary value problems (BVPs) invo...
The objective of this paper is to study the existence of solutions for two classes of dynamic initia...
Abstract. In this study, conditions for the existence of at least one solution to a nonlinear first-...
AbstractThis paper is devoted to deriving the existence, uniqueness and approximation of solutions t...
The theory of dynamic equations on time scales provides an important bridge between the fields of di...
By using the fixed point theorem in cones, in this paper, existence criteria for single and multipl...
summary:The purpose of the present paper is to study the existence of solutions to initial value pro...
summary:The purpose of the present paper is to study the existence of solutions to initial value pro...
In this paper we deal with the general initial-boundary value problem for a second order nonlinea...
summary:The purpose of the present paper is to study the existence of solutions to initial value pro...
Abstract. In this paper we examine “terminal ” value problems for dynamic equations on time scales –...
A general existence theory is presented for initial value problems where our nonlinearity may be sin...
A general existence theory is presented for initial value problems where our nonlinearity may be sin...
We present existence results for discontinuous first- and continuous second-order dynamic equations ...
AbstractIn this paper we study the existence, uniqueness, and iterative approximation of solutions f...
DOI
Add to ORKG