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Abstract Distrontium equations are the esthetical interpre tution of almost every phenomena in deterrent branch: Sines the of equations considered had extended to Anelude those with operstor eopftietentsy the tools of sole Ying Wea Wore also daveloped, und the main tool nov tn use functional analysis. he sbidy of the partial difrerential equations an sxeellont vehicle through which to convey to the reushor a feotieg for the Intarrelation betwen pute wathomaties and to physical sciences oF engineering. sofore the engineer oF sctontist cen proceed confidently to use purtlal éittere ential equations, he or she aust have austary of the tac Fniquos of solution and at least a rudiontary knowledge of the underlying theory. Conversely, the reacher of pure gute henutles often benefits greatty by a knowledge of sono of the ways Ap whieh the necessity for colving specific probtes has stiguleted work of wore abstract nature. One of the most isportant problems for theore tice scientists the investigation of phenozenon by ubtch ve can obtain aati eal aodel end thon datersine such pro Perties as extstence, untquonass, continuity, differentiate try of the solution. |