Memcapacitors are capacitors whose capacitance depends on the past states throughrnwhich the system has evolved. The focus of this thesis is on the possible realization ofrna three-layer solid-state memory capacitive (memcapacitive) system. The functioning ofrnthis device is based on the slow polarization rate of a medium between plates of a regularrncapacitor. To achieve this goal, this work considers a three-layer structure embedded in arncapacitor. The three layer structure is formed by metallic layers separated by an insulatorrnso that non-linear electronic transport between the layers can occur. Unlike conventionalrncapacitor, the capacitance of this device depends on the history of the system. Ourrncalculation shows non-pinched hysteretic charge-voltage and capacitance-voltage curves,rnand both negative and diverging capacitance within certain ranges of the field. Thisrnproperty of memcapacitive system makes it a good candidate for non-volatile memoryrnapplication.