Hi,

Please refer to the below code for reference on Search Functionality.

VisualForce Page:

<apex:page controller="Searchname">
  <apex:form >
  <apex:PageBlock >
  <apex:PageBlockSection >
  <apex:PageBlockSectionItem >
  <apex:outputLabel > Name</apex:outputLabel>
  <apex:inputText value="{!name}"/>
  </apex:PageBlockSectionItem>
  <apex:commandButton value="Go" action="{!executeSearch}"/>
  </apex:PageBlockSection>
  <apex:PageBlockTable var="act" value="{!mycar}"> 
  <apex:column value="{!act.name}"/>  
  <apex:column value="{!act.Price__c}"/>
  </apex:PageBlockTable>
  </apex:PageBlock>
  <apex:PageBlock >
  <!--apex:commandButton value="Edit" action="{!edit}"/-->
  </apex:PageBlock>
  </apex:form>
</apex:page>



Apex Class:


public with sharing class Searchname {
     public String name { get; set;}
    public list<car__c> mycar { get; set; }
    public boolean searched{get;set;}
    public searchname() {
    searched=false;
    string namestr=ApexPages.currentPage().getParameters().get('name');
    if(null!=namestr) {
    name=namestr;
    //executeSearch();
    }
    }
    public PageReference executeSearch() {
      searched=true;
    System.debug('name' +name);
    string searchstr=('%'+name+'%');
    System.debug(searchstr);
   // accounts= new List<Account>();
    mycar=[select id,Name,price__c from car__c where name Like:searchstr limit 20];
    System.debug(mycar);
        return null;
    }
   
}


For further reference, you can check the below blog,

https://salesforce.stackexchange.com/questions/241489/search-functionality-in-vf-page


I hope you find the above solution helpful. If it does, please mark as Best Answer to help others too.

Thanks.