Petronije Milojevic
Contact Info
Title:  Professor 
Email:  petronije.milojevic@njit.edu 
Office:  522 Cullimore 
Hours:  Monday , Wednesday 910 
Phone:  9735965834 
Dept:  Mathematical Sciences 
Webpage:  http://pemilo@m.njit.edu 
About Me
The research of P.S. Milojevic is focused on studying semilinear and (strongly) nonlinear operator equations using a combination of topological, approximation, and variational methods and applications to ordinary and partial differential equations. He has developed various fixed point results for condensing and Aproper maps. His studies of semilinear operator equations with monotone and (pseudo) Aproper maps involve nonresonance and resonance problems with Fredholm and hyperboliclike perturbations of singlevalued and multivalued nonlinear maps, and Hammerstein equations. He has widely applied these abstact theories to BVPs for (contingent) ordinary and elliptic PDEs, to periodic and BVPs for semilinear hyperbolic and parabolic equations and to nonlinear integral equations. His study of nonlinear and strongly nonlinear operator equations is concerned with the existence and the number of solutions of such equations involving condensing, monotone, and various types of approximation maps. His current research deals with Hammerstein equations and weakly inward Aproper and pseudo Aproper maps and applications to differential and integral equations.
Education

PhD, Rutgers University
Website
http://pemilo@m.njit.eduResearch Interests
The research of P.S. Milojevic is focused on studying semilinear and (strongly) nonlinear operator equations using a combination of topological, approximation, and variational methods and applications to ordinary and partial differential equations. He has developed various fixed point results for condensing and Aproper maps. His studies of semilinear operator equations with monotone and (pseudo) Aproper maps involves nonresonance and resonance problems with Fredholm and hyperbolic like perturbations of singlevalued and multivalued nonlinear maps, and Hammerstein equations. He has widely applied these abstact theories to BVP´s for (contingent) ordinary and elliptic PDE´s, to periodic and BVP´s for semilinear hyperbolic and parabolic equations and to nonlinear integral equations. His study of nonlinear and strongly nonlinear operator equations is concerned with the existence and the number of solutions of such equations involving condensing, monotone and various types of approximation maps.
Current Research
His current research deals with Hammerstein equations and weakly inward Aproper and pseudo Aproper maps and applications to differential and integral equations.
Selected Publications
 Implicit function theorems, "Approximate solvability of nonlinear equations and error estimates," J. Math. Anal. Appl., 211 (1997), 4244
 Approximationsolvability of semilinear equations and applications, in "Theory and Applications of Nonlinear Operators of Accretive and Monotone Type," (A.G. Kartsatos Ed.), Lecture Notes Pure Appl. Math.,V. 178 (1996), 149208, M. Dekker, NY.
 "On the dimension and the index of the solution set of nonlinear equations," nsactions Amer. Math. Soc., 347(3) (1995), 835856.
 "Existence and the Number of Solutions of Nonresonant Semilinear Equations and Applications to Boundary Value Problems," Mathematical and Computer Modelling 32(2000) 13951416.