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Existence of Solutions of Fuzzy Delay Differential Equations with Nonlocal Condition
BALACHANDRAN, K.,PRAKASH, P. 한국산업정보응용수학회 2002 한국산업정보응용수학회 Vol.6 No.1
In this paper we prove the existence of solutions of fuzzy delay differential equations with nonlocal condition. The results are obtained by using the fixed point principles.
Balachandran K.,Byszewski L.,Kim J. K. 경남대학교 기초과학연구소 2019 Nonlinear Functional Analysis and Applications Vol.24 No.3
The aim of this paper is to prove the existence and uniqueness of mild and classical solutions of a second order evolution equation with functional dependence on the solutions and on derivatives of the solutions. The theory of strongly continuous cosine families of linear operators in a Banach space is applied. Further we discuss the existence of solutions of nonlinear fractional differential equations in abstract spaces.
NONLOCAL CAUCHY PROBLEM FOR SOBOLEV TYPE FUNCTIONAL INTEGRODIFFERENTIAL EQUATION
Balachandran, K.,Park, Jong-Yeoul Korean Mathematical Society 2002 대한수학회보 Vol.39 No.4
In this paper we prove the existence and uniqueness of a mild solution of a functional differential equation of Sobolev type with nonlocal condition using the semigroup theory and the Banach fixed point principle.
Particulate and gas sampling of prescribed fires in South Georgia, USA
Balachandran, S.,Pachon, J.E.,Lee, S.,Oakes, M.M.,Rastogi, N.,Shi, W.,Tagaris, E.,Yan, B.,Davis, A.,Zhang, X.,Weber, R.J.,Mulholland, J.A.,Bergin, M.H.,Zheng, M.,Russell, A.G. Pergamon Press ; Elsevier [distribution] 2013 Atmospheric environment Vol.81 No.-
Gaseous and particulate species from two prescribed fires were sampled in-situ, to better characterize prescribed burn emissions. Measurements included gaseous and fine particulate matter (PM<SUB>2.5</SUB>) species, particle number concentration, particulate organic carbon (POC) speciation, water-soluble organic carbon (WSOC) and water-soluble iron. Major PM<SUB>2.5</SUB> components included OC (~57%), EC (~10%), chloride (~1.6%), potassium (~0.7%) and nitrate (~0.9%). Major gaseous species include carbon dioxide, carbon monoxide, methane, ethane, methanol and ethylene. Particulate organic tracers of biomass burning, such as levoglucosan, dehydroabietic acid and retene, increased significantly during the burns. Water-soluble organic carbon (WSOC) also increased significantly during the fire and levels are highly correlated with total potassium (K) (R<SUP>2</SUP> = 0.93) and levoglucosan (R<SUP>2</SUP> = 0.98). The average WSOC/OC ratio was 0.51 +/- 0.03 and did not change significantly from background levels. Thus, the WSOC/OC ratio may not be a good indicator of secondary organic aerosol (SOA) in regions that are expected to be impacted by biomass burning. Results using a biomass burning source profile derived from this work further indicate that source apportionment is sensitive to levels of potassium in biomass burning source profiles. This underscores the importance of quantifying local biomass burning source profiles.
EXISTENCE OF SOLUTIONS OF QUASILINEAR INTEGRODIFFERENTIAL EVOLUTION EQUATIONS IN BANACH SPACES
Balachandran, Krishnan,Park, Dong-Gun Korean Mathematical Society 2009 대한수학회보 Vol.46 No.4
We prove the local existence of classical solutions of quasi-linear integrodifferential equations in Banach spaces. The results are obtained by using fractional powers of operators and the Schauder fixed-point theorem. An example is provided to illustrate the theory.
Boundary controllability of Semilinear Systems in Banach spaces
BALACHANDRAN, K.,ANANDHI, E.R. 한국산업정보응용수학회 2001 한국산업정보응용수학회 Vol.5 No.2
Sufficient conditions for boundary controllability of semilinear systems in Banach spaces are established. The results are obtained by using the analytic semigroup theory and the Banach contraction principle. An example is provided to illustrate the theory.
CONTROLLABILITY OF SECOND ORDER SEMILINEAR VOLTERRA INTEGRODIFFERENTIAL SYSTEMS IN BANACH SPACES
Balachandran, K.,Park, J.Y.,Anthoni, S.-Marshal Korean Mathematical Society 1999 대한수학회보 Vol.36 No.1
Sufficient conditions for controllability of semilinear second order Volterra integrodifferential systems in Banach spaces are established using the theory of strongly continuous cosine families. The results are obtained by using the Schauder fixed point theorem. An example is provided to illustrate the theory.
Controllability of Perturbed Integrodifferential Systems With Prescribed Controls
BALACHANDRAN, K.,SAKTHIVEL, K. 한국산업정보응용수학회 2003 한국산업정보응용수학회 Vol.7 No.2
In this paper we establish a set of sufficient conditions for the controllability of perturbed integrodifferential systems with prescribed controls by using the Schaefer fixed point theorem.